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ANSYS: US-based and -developed full CAE software package: Ansys Inc. 2022 R2: 2022-07-28: Proprietary commercial software: Free student version available, up to 32,000 nodes/elements [9] Windows, Linux: COMSOL Multiphysics: COMSOL Multiphysics Finite Element Analysis Software (formerly FEMLAB) COMSOL Inc. 6.1: 2022-11-01: Proprietary EULA
Ansys, Inc. is an American multinational company with its headquarters based in Canonsburg, Pennsylvania. It develops and markets CAE / multiphysics engineering simulation software for product design, testing and operation and offers its products and services to customers worldwide.
FloEFD: Commercial CFD IBM code ; Advanced Simulation Library; Mango-Selm : Immersed Boundary Methods and SELM Simulations, 3D Package, (Python interface, LAMMPS MD Integration), P. Atzberger, UCSB
Ansys HFSS (high-frequency structure simulator) is a commercial finite element method solver for electromagnetic (EM) structures from Ansys. [ 1 ] Engineers use Ansys HFSS primarily to design and simulate high-speed, high-frequency electronics in radar systems, communication systems, satellites, ADAS, microchips, printed circuit boards, IoT ...
The second step is discretization, where the weak form is discretized in a finite-dimensional space. After this second step, we have concrete formulae for a large but finite-dimensional linear problem whose solution will approximately solve the original BVP. This finite-dimensional problem is then implemented on a computer.
Schematic of D2Q9 lattice vectors for 2D Lattice Boltzmann. Unlike CFD methods that solve the conservation equations of macroscopic properties (i.e., mass, momentum, and energy) numerically, LBM models the fluid consisting of fictive particles, and such particles perform consecutive propagation and collision processes over a discrete lattice.
The finite volume method (FVM) is a method for representing and evaluating partial differential equations in the form of algebraic equations. [1] In the finite volume method, volume integrals in a partial differential equation that contain a divergence term are converted to surface integrals, using the divergence theorem.
where is the time step, superscripts stand for time iterations while is the particle acceleration, given by the right-hand side of the momentum equation. Other symplectic integrators exist (see the reference textbook [48]). It is recommended to use a symplectic (even low-order) scheme instead of a high order non-symplectic scheme, to avoid ...