New 3D Design Capabilities Available in ANSYS 2019 R3 – Webinar

The ANSYS 3D Design family of products enables CAD modeling and simulation for all design engineers. Since the demands on today’s design engineer to build optimized, lighter and smarter products are greater than ever, using the appropriate design tools is more important than ever.

Rapidly explore ideas, iterate and innovate with ANSYS Discovery 3D design software, evaluate more concepts and rapidly gauge design performance through virtual design testing as you delve deeper into your design’s details, with the same results accuracy as ANSYS flagship products – when and where you need it.

Join PADT’s Training & Support Application Engineer, Robert McCathren for a look at the new 3D design capabilities available in ANSYS 2019 R3 for ANSYS Discovery AIM, Live, and SpaceClaim. These new updates include:

Mass flow outlets

Transient studies with time varying inputs

Structural beam support

Linear buckling support

Physics-aware meshing improvements

Mesh failure localization and visualization improvements

And much more

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All Thing ANSYS 050: Updates and Enhancements in ANSYS Mechanical 2019 R3

 

Published on: November 4th, 2019
With: Eric Miller, Joe Woodward, & Ted Harris
Description:  

In this episode, your host and Co-Founder of PADT, Eric Miller is joined by PADT’s Specialist Mechanical Engineer/Lead Trainer Joe Woodward, and Simulation Support Manager Ted Harris, for a discussion on what’s new in the mechanical release for ANSYS 2019 R3, as well as a look at their favorite features. This includes a focus on updates and enhancements to improve ease of use, reduce set-up time, and provide more valuable solutions.

If you would like to learn more about what this release is capable of, check out our webinar on the topic here: https://www.brighttalk.com/webcast/15747/376304

If you have any questions, comments, or would like to suggest a topic for the next episode, shoot us an email at podcast@padtinc.com we would love to hear from you!

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Updates & Additions in ANSYS Mechanical 2019 R3 – Webinar

With ANSYS structural analysis software, users are able to solve more complex engineering problems, faster and more efficiently than ever before. Customization and automation of structural solutions is much easier to optimize thanks to new and innovative finite element analysis (FEA) tools available in this product suite. 

From designers and occasional users looking for quick, easy and accurate results, to experts looking to model complex materials, large assemblies and nonlinear behavior, ANSYS has you covered. The intuitive interface of ANSYS Mechanical enables engineers of all levels to get answers fast and with confidence.

Join PADT’s Specialist Mechanical Engineer Joe Woodward, for an in-depth look at what’s new in the latest version of ANSYS Mechanical, including updates regarding:

  • Software User Interface
  • Design Elements
  • Composites
  • Acoustics
  • External Modeling
  • And much more

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Predicting & Controlling Environmental Pollution with ANSYS Simulation – Webinar

Environmental pollution has been a fact of life for many centuries, though it became a real issue after the start of the industrial revolution. An estimated 6.5 million premature deaths have been linked to air pollution every year.

In order to properly combat this growing issue, the world’s leading minds have turned to a more effective tool for environmental analysis; numerical simulation. Computational fluid dynamics has proven to be a powerful tool when it comes to predicting and controlling air, water, and noise pollution.

Join PADT’s CFD Team Lead Engineer Clinton Smith to learn how ANSYS fluid mechanics solutions provide insight and detailed understanding of the formation and dispersion of pollutants such as NOx, SOx, CO & Soot as well as effective ways for modelling pollution control equipment such as ESP’s, bag filters, and wastewater treatment plants.

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All Things ANSYS 048: Topology Optimization & Simulation for Additive Manufacturing in ANSYS 2019 R3

 

Published on: October 7th, 2019
With: Eric Miller & Doug Oatis
Description:  

In this episode, your host and Co-Founder of PADT, Eric Miller is joined by PADT’s simulation support & application engineer Doug Oatis for a discussion on what is new in ANSYS 2019 R3 with regards to tools and applications for topology optimization and additive manufacturing.

If you would like to learn more about what’s new in this latest release, check out our webinar on the topic here: https://www.brighttalk.com/webcast/15747/372133?

If you have any questions, comments, or would like to suggest a topic for the next episode, shoot us an email at podcast@padtinc.com we would love to hear from you!

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Frequency Dependent Material Definition in ANSYS HFSS

Electromagnetic models, especially those covering a frequency bandwidth, require a frequency dependent definition of dielectric materials. Material definitions in ANSYS Electronics Desktop can include frequency dependent curves for use in tools such as HFSS and Q3D. However, there are 5 different models to choose from, so you may be asking: What’s the difference?

In this blog, I will cover each of the options in detail. At the end, I will also show how to activate the automatic setting for applying a frequency dependent model that satisfies the Kramers-Kronig conditions for causality and requires a single frequency definition.

Background

Recalling that the dielectric properties of material are coming from the material’s polarization

(1)

where D is the electric flux density, E is the electric field intensity, and P is the polarization vector. The material polarization can be written as the convolution of a general dielectric response (pGDR) and the electric field intensity.

(2)

The dielectric polarization spectrum is characterized by three dispersion relaxation regions α, β, and γ for low (Hz), medium (KHz to MHz) and high frequencies (GHz and above). For example, in the case of human tissue, tissue permittivity increases and effective conductivity decreases with the increase in frequency [1].

Fig. 1. α, β and γ regions of dielectric permittivity

Each of these regions can be modeled with a relaxation time constant

(3)

where τ is the relaxation time.

(4)

The well-known Debye expression can be found by use of spectral representation of complex permittivity (ε(ω)) and it is given as:

(5)
(6)

where ε is the permittivity at frequencies where ωτ>>1, εs is the permittivity at ωτ>>1, and j2=-1. The magnitude of the dispersion is ∆ε = εs.

The multiple pole Debye dispersion equation has also been used to characterize dispersive dielectric properties [2]

(7)

In particular, the complexity of the structure and composition of biological materials may cause that each dispersion region be broadened by multiple combinations. In that case a distribution parameter is introduced and the Debye model is modified to what is known as Cole-Cole model

(8)

where αn, the distribution parameter, is a measure of broadening of the dispersion.

Gabriel et. al [3] measured a number of human tissues in the range of 10 Hz – 100 GHz at the body temperature (37℃). This data is freely available to the public by IFAC [4].

Frequency Dependent Material Definition in HFSS and Q3D

In HFSS you can assign conductivity either directly as bulk conductivity, or as a loss tangent. This provides flexibility, but you should only provide the loss once. The solver uses the loss values just as they are entered.

To define a user-defined material choose Tools->Edit Libraries->Materials (Fig. 2). In Edit Libraries window either find your material from the library or choose “Add Material”.

Fig. 2. Edit Libraries screen shot.

To add frequency dependence information, choose “Set Frequency Dependency” from the “View/Edit Material” window, this will open “Frequency Dependent Material Setup Option” that provides five different ways of defining materials properties (Fig. 3).

Fig. 3. (Left) View/Edit Material window, (Right) Frequency Dependent Material Setup Option.

Before choosing a method of defining the material please note [5]:

  • The Piecewise Linear and Frequency Dependent Data Points models apply to both the electric and magnetic properties of the material. However, they do not guarantee that the material satisfies causality conditions, and so they should only be used for frequency-domain applications.
  • The Debye, Multipole Debye and Djordjevic-Sarkar models apply only to the electrical properties of dielectric materials. These models satisfy the Kramers-Kronig conditions for causality, and so are preferred for applications (such as TDR or Full-Wave SPICE) where time-domain results are needed. They also include an automatic Djordjevic-Sarkar model to ensure causal solutions when solving frequency sweeps for simple constant material properties.
  • HFSS and Q3D can interpolate the property’s values at the desired frequencies during solution generation.

Piecewise Linear

This option is the simplest way to define frequency dependence. It divides the frequency band into three regions. Therefore, two frequencies are needed as input. Lower Frequency and Upper Frequency, and for each frequency Relative Permittivity, Relative Permeability, Dielectric Loss Tangent, and Magnetic Loss Tangent are entered as the input. Between these corner frequencies, both HFSS and Q3D linearly interpolate the material properties; above and below the corner frequencies, HFSS and Q3D extrapolate the property values as constants (Fig. 4).

Fig. 4. Piecewise Linear Frequency Dependent Material Input window.

Once these values are entered, 4 different data sets are created ($ds_epsr1, $ds_mur1, $ds_tande1, $ds_tandm1). These data sets now can be edited. To do so choose Project ->Data sets, and choose the data set you like to edit and click Edit (Fig. 5). This data set can be modified with additional points if desired (Fig. 6).

Fig. 5. (Left) Project data set selection, (right) defined data set for the material.
Fig. 6. A sample data set.

Frequency Dependent

Frequency Dependent material definition is similar to Piecewise Linear method, with one difference. After selecting this option, Enter Frequency Dependent Data Point opens that gives the user the option to use which material property is defined as a dataset, and for each one of them a dataset should be defined. The datasets can be defined ahead of time or on-the-fly. Any number of data points may be entered. There is also the option of importing or editing frequency dependent data sets for each material property (Fig. 7).

Fig. 7. This window provides options of choosing which material property is frequency dependent and enter the data set associated with it.

Djordjevic-Sarkar

This model was developed initially for FR-4, commonly used in printed circuit boards and packages [6]. In fact, it uses an infinite distribution of poles to model the frequency response, and in particular the nearly constant loss tangent, of these materials.

(9)

where ε is the permittivity at very high frequency,  is the conductivity at low (DC) frequency,  j2=-1, ωA is the lower angular frequency (below this frequency permittivity approaches its DC value), ωB is the upper angular frequency (above this frequency permittivity quickly approaches its high-frequency permittivity). The magnitude of the dispersion is ∆ε = εs-ε∞.

Both HFSS and Q3D allow the user to enter the relative permittivity and loss tangent at a single measurement frequency. The relative permittivity and conductivity at DC may optionally be entered. Writing permittivity in the form of complex permittivity [7]

(10)
(11)

Therefore, at the measurement frequency one can separate real and imaginary parts

(12)
(13)

where

(14)

Therefore, the parameters of Djordjevic-Sarkar can be extracted, if the DC conductivity is known

(15)

If DC conductivity is not known, then a heuristic approximation is De = 10 εtan δ1.

The window shown in Fig. 8 is to enter the measurement values.

Fig. 8. The required values to calculate permittivity using Djordjevic-Sarkar model.

Debye Model

As explained in the background section single pole Debye model is a good approximation of lossy dispersive dielectric materials within a limited range of frequency. In some materials, up to about a 10 GHz limit, ion and dipole polarization dominate and a single pole Debye model is adequate.

(16)
(17)
(18)
(19)
(20)

The Debye parameters can be calculated from the two measurements [7]

(21)

Both HFSS and Q3D allow you to specify upper and lower measurement frequencies, and the loss tangent and relative permittivity values at these frequencies. You may optionally enter the permittivity at high frequency, the DC conductivity, and a constant relative permeability (Fig. 9).

Fig. 9. The required values for Single Pole Debye model.

Multipole Debye Model

For Multipole Debye Model multiple frequency measurements are required. The input window provides entry points for the data of relative permittivity and loss tangent versus frequency. Based on this data the software dynamically generates frequency dependent expressions for relative permittivity and loss tangent through the Multipole Debye Model. The input dialog plots these expressions together with your input data through the linear interpolations (Fig. 10).

Fig. 10. The required values for Multipole Debye model.

Cole Cole Material Model

The Cole Cole Model is not an option in the material definition, however, it is possible to generate the frequency dependent datasets and use Frequency Dependent option to upload these values. In fact ANSYS Human Body Models are built based on the data from IFAC database and Frequency Dependent option.

Visualization

Frequency-dependent properties can be plotted in a few different ways. In View/Edit Material dialog right-click and choose View Property vs. Frequency. In addition, the dialogs for each of the frequency dependent material setup options contain plots displaying frequency dependence of the properties.

You can also double-click the material property name to view the plot.

Automatically use causal materials

As mentioned at the beginning, there is a simple automatic method for applying a frequency dependent model in HFSS. Select the menu item HFSS->Design Setting, and check the box next to Automatically use casual materials under Lossy Dielectrics tab.

Fig. 11. Causal material can be enforced in HFSS Design Settings.

This option will automatically apply the Djordjevic-Sarkar model described above to objects with constant material permittivity greater than 1 and dielectric loss tangent greater than 0. Keep in mind, not only is this feature simple to use, but the Djordjevic-Sarkar model satisfies the Kramers-Kronig conditions for causality which is particularly preferred for wideband applications and where time-domain results will also be needed. Please note that if the assigned material is already frequency dependent, automatic creation of frequency dependent lossy materials is ignored.

If you would like more information or have any questions about ANSYS products please email info@padtinc.com

References

  • D.T. Price, MEMS and electrical impedance spectroscopy (EIS) for non-invasive measurement of cells, in MEMS for Biomedical Applications, 2012, https://www.sciencedirect.com/topics/materials-science/electrical-impedance
  • W. D. Hurt, “Multiterm Debye dispersion relations for permittivity of muscle,” IEEE Trans. Biomed. Eng, vol. 32, pp. 60-64, 1985.
  • S. Gabriel, R. W. Lau, and C. Gabriel. “The dielectric properties of biological tissues: III. Parametric models for the dielectric spectrum of tissues.” Physics in Medicine & Biology, vol. 41, no. 11, pp. 2271, 1996.
  • Dielectric Properties of Body Tissues in the Frequency Range 10 Hz – 100 GHz, http://niremf.ifac.cnr.it/tissprop/.
  • ANSYS HFSS Online Help, Nov. 2013, Assigning Materials.
  • A. R. Djordjevic, R. D. Biljic, V. D. Likar-Smiljani, and T. K. Sarkar, “Wideband frequency-domain characterization of FR-4 and time-domain causality,” IEEE Trans. on Electromagnetic Compatibility, vol. 43, no. 4, p. 662-667, Nov. 2001.
  • ANSYS HFSS Online Help, 2019, Materials Technical Notes.

Useful Links

Piecewise Linear Input

Debye Model Input

Multipole Debye Model Input

Djordjevic-Sarkar

Enter Frequency Dependent Data Points

Modifying Datasets.

Topology Optimization & Simulation for Additive Manufacturing in ANSYS 2019 R3 – Webinar

ANSYS offers a complete simulation workflow for additive manufacturing (AM) that allows you to transition your R&D efforts for metal additive manufacturing into a successful manufacturing operation. This best-in-class solution for additive manufacturing enables simulation at every step in your AM process. It will help you optimize material configurations and machine and parts setup before you begin to print. As a result, you’ll greatly reduce — and potentially eliminate — the physical process of trial-and- error testing.

Through the use of ANSYS tools such as Additive Prep, Print, and Science, paired with topology optimization capabilities in ANSYS Mechanical Workbench, the need for physical process of trial-and-error testing has been greatly reduced.

Join PADT’s Simulation Support and Application Engineer Doug Oatis for an exploration of the ANSYS tools that help to optimize additive manufacturing, and what new capabilities are available for them when upgrading to ANSYS 2019 R3. This presentation includes updates regarding:

  • Level-set based topology optimization
  • The export of build files directly to AM machines
  • Switching between viewing STL supports, mesh, or element densities
  • Multiple support being made in a single simulation (volume-less & solid supports)
  • And much more

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All Things ANSYS 047: Mechanical Solver, Element, & Contact Enhancements in ANSYS 2019 R3

 

Published on: September 24th, 2019
With: Eric Miller, Joe Woodward, Doug Oatis, & Ted Harris
Description:  

In this episode, your host and Co-Founder of PADT, Eric Miller is joined by PADT’s simulation support manager Ted Harris, specialist mechanical engineer Joe Woodward, and simulation support & application engineer Doug Oatis for a discussion on what is new in ANSYS 2019 R3 with regards to the mechanical solver, element, and contact enhancements.

If you would like to learn more about what’s new in this latest mechanical release, check out our webinar on the topic here: https://www.brighttalk.com/webcast/15747/371263

If you have any questions, comments, or would like to suggest a topic for the next episode, shoot us an email at podcast@padtinc.com we would love to hear from you!

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Mechanical Solver, Element, & Contact Enhancements in ANSYS 2019 R3 – Webinar

ANSYS 2019 R3 brings a whole host of improvements to various mechanical features, designed to enhance overall optimization and ease of use. Key updates such as those made in regards to the mechanical solver, MAPDL elements, and contact modeling capabilities help make this release essential for performing effective analyses, and deriving valuable results from said analyses. 

For example, being able to simulate contact correctly means that engineers can simulate the change in load paths when parts deform and confidently predict how assemblies will behave in the real world.

Join PADT’s Simulation Support Manager Ted Harris, for a look at the latest mechanical solver, element, and contact updates available in ANSYS 2019 R3. This presentation includes enhancements made for:

Improved scaling for various solvers

Surface stress evaluation for axisymmetric solid elements

Piezoelectric analyses

Nonlinear radial gap elements

And much more

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All Things ANSYS 046: The Founding of CFX

 

Published on: September 9th, 2019
With: Eric Miller, Paul Galpin, & Brad Hutchinson
Description:  

In this episode, your host and Co-Founder of PADT, Eric Miller is joined by Paul Galpin and Brad Hutchinson, two founders of the Computational Fluid Dynamics (CFD) simulation tool now owned by ANSYS, called CFX. They discuss how they initially got into the world of simulation, the current state of CFD, and what is important to be aware of as it continues to grow and develop.

If you would like to learn more about what’s new in the latest version of CFX, check out PADT’s webinar on fluids updates in ANSYS 2019 R3 here: https://www.brighttalk.com/webcast/15747/369903

If you have any questions, comments, or would like to suggest a topic for the next episode, shoot us an email at podcast@padtinc.com we would love to hear from you!

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Fluids Innovations in ANSYS 2019 R3 – Webinar

Products such as ANSYS Fluent, CFX, and Ensight work together in a constantly improving tool kit that is developed to provide ease of use improvements for engineers simulating fluid flows and the impact those flows have on physical models. 

Fluids simulation users will find that ANSYS 2019 R3 includes many enhancements that further simplify the user experience and broaden use to new applications. The new Fluent experience has been improved so you can enjoy more CFD in less time, with less training.

Join PADT’s Simulation Support and Application Engineer, Sina Ghods, for a look at what is new and improved for fluids simulation tools in ANSYS 2019 R3. This presentation includes updates regarding: 

  • Usability Enhancements
  • Watertight Geometry Workflow
  • TurboGrid & BladeEditor
  • Meshing Enhancements
  • And many more innovative capabilities

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3D Printing with Stratasys to Improve Workflow Efficiency

As advancements in R&D continue to expand hardware innovation in almost every industry, 3D printing is playing an increasingly larger role. For a long time, companies developed prototypes via fabrication in a machine shop or outsourced to a third party contractor. This process proved to be costly and slow. With innovations like the Stratasys F123 series, industrial-grade 3D printers, prototyping is becoming simpler, more cost-efficient, and faster. PADT is a reseller and support provider for the F123 series and has seen it used to great success in its customer’s hands.

“Our customers are finding the Stratasys F123 3D printers to be a great addition to their design floors,” said Rey Chu, co-founder and principal, PADT. “They have a very minimal learning curve, and a range of material options that provides flexibility for a wide variety of parts.”

As some of the most well-rounded 3D printers in the industry, the Stratasys F123 Series have won numerous awards. It’s easy to operate and maintain these machines, regardless of the user’s level of experience, and they are proficient at every stage of prototyping, from concept to validation, to functional performance.

The printers work with a range of materials – so users can produce complex parts with flexibility and accuracy. This includes advanced features like Fast Draft mode for truly rapid prototyping and soluble support to prevent design compromise and hands-on removal – All designed to shorten product development cycles and time to market.

All of these different characteristics allow for the F123 series to provide innovative solutions for manufacturers working with a wide variety of applications. This vast array of potential use is best seen in the assortment of companies that have purchased the Stratasys F370, the largest and most robust model in the F123 line of 3D printers; boasting a 14 x 10 x 14 in. build size, additional software integration, and access to a plethora of unique materials designed to help ensure prototyping success, all at an accessible price point. Companies that best represent the diversity of this machine include:

Juggernaut Design | Industrial Design Logo

Juggernaut Design

PADT client Juggernaut is an authority in rugged product design, bringing innovation and expertise to products to survive in challenging environments. Employing the latest tools and technology, this team of designers and engineers is always looking for the best way to meet their client’s ever-evolving requirements. 3D printing is one such tool a design firm like Juggernaut relies on. Covering everything from the development of prototypes and form studies, to ergonomic test rigs and even functional models, the need for quick turnaround is relevant at nearly every stage of the design process. Having physical parts to show to clients also helps to improve communication, allowing them to better visualize key design elements.

National Renewable Energy Laboratory

The U.S. Department of Energy’s National Renewable Energy Laboratory (NREL) focuses on advancing the science and engineering of energy efficiency, sustainable transportation, and renewable power technologies, including marine energy. When it comes to developing the components of a wave energy device that produce power from relative motion induced by the dynamics of ocean waves for example, NREL’s research requires extensive validation before it is ready for commercialization. This process often includes generating sub-scale components for numerical model validation, prototypes for proof of concept, and other visual representations to provide clarity throughout the entire manufacturing process. It’s also important to accurately validate research projects at a more manageable and cost-effective scale before moving beyond the prototype stage.

Recently, NREL has ventured into building parts with more complex geometries, such as 3D printing hydrodynamically accurate models that are able to effectively represent the intricacies of various geometry and mass properties at scale.

Sierra Nevada Corporation

Sierra Nevada Corporation (SNC) is a privately held, advanced technology company providing customer-focused innovative solutions in the areas of aerospace, aviation, electronics, and systems integration. SNC’s diverse technologies are used in applications including telemedicine, navigation and guidance systems, threat detection and security, commercial aviation, scientific research, and infrastructure protection, among others. SNC decided to purchase an F370 Stratasys 3D printer to help the company’s engineering team iterate faster on new application designs. This machine was specifically attractive due to the reasonable purchase and operational costs of Stratasys printers, as well as the reduced manufacturing times it provided.

These use cases provide an example of how the Stratasys F123 series is helping to replace traditional manufacturing to save costs and provide a more efficient in-house, rapid design solution. The Stratasys F123 printers, and specifically the power and size of its flagship model, the F370, are revolutionizing design team’s workflow by providing more flexibility and accessibility than ever before.

To learn more about the Stratasys F123 Series, and find the machine that is right for you, please visit PADT’s Stratasys product page here. And to talk to PADT’s sales staff about a demo, please call 1-800-293-PADT.

All Things ANSYS 045: Using Simulation to Disrupt the RF Antenna Industry

 

Published on: August 26th, 2019
With: Eric Miller & Stefan O’Dougherty
Description:  

In this episode, your host and Co-Founder of PADT, Eric Miller is joined by Stefan O’Dougherty of FreeFall Moving Data to discuss the use of ANSYS simulation tools to drive the design of their unique RF antenna concept.

To learn more about FreeFall and see their product in action, click the link below and view the Wired article discussed in the interview portion of today’s episode: https://www.wired.com/story/new-space-telescopes-could-look-like-giant-beach-balls/

If you would like to learn more about what’s available in the latest release of ANSYS HFSS check out PADT’s webinar on the subject here: https://www.brighttalk.com/webcast/15747/361278

If you have any questions, comments, or would like to suggest a topic for the next episode, shoot us an email at podcast@padtinc.com we would love to hear from you!

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High Frequency Electromagnetic Updates in ANSYS 2019 R2 – Webinar

HFSS (High Frequency Structure Simulator) employs versatile solvers and an intuitive GUI to provide unparalleled performance, as well as deep insight, into a wide variety of 3D electromagnetic (EM) problems. ANSYS HFSS is the premier EM tool for R&D and virtual design prototyping. It reduces design cycle time and boosts your product’s reliability and performance. 

The ANSYS HFSS simulation suite consists of a comprehensive set of solvers to address diverse electromagnetic problems, ranging in detail and scale from passive IC components to extremely large-scale EM analyses. Its reliable automatic adaptive mesh refinement allows users to focus on the design instead of spending time determining and creating the best mesh.

Join PADT’s Lead Electromagnetics Engineer Michael Griesi for a look at what new capabilities are available for HFSS users in ANSYS 2019 R2.

This presentation will include updates for the following topics:

  • Solve speed
  • Electronics Desktop
  • ANSYS Cloud
  • Post processing
  • And much more

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All Things ANSYS 044: Optimize Materials Knowledge & Applications with ANSYS Granta pt. 2

 

Published on: August 14th, 2019
With: Eric Miller, Anthony Dawson, & David Cebon
Description:  

In this episode, the continuation of our discussion on ANSYS Granta, your host and Co-Founder of PADT, Eric Miller is joined by Anthony Dawson, Senior Director of Materials Business Unit Product Operations at ANSYS, and David Cebon, Chief Technologist at ANSYS Granta, as they dive deeper and discuss the history of the company, and the specific tools that make up the Granta family of products.

If you would like to learn more about what’s available in this latest release check out PADT’s webinar on ANSYS Granta here: https://bit.ly/3001IFA

If you have any questions, comments, or would like to suggest a topic for the next episode, shoot us an email at podcast@padtinc.com we would love to hear from you!

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