We'll look at why it's useful to split the body being analysed into small elements and the different elements types that can be used. We'll also cover the key concept behind the finite element method, ...

Finite volume methods (FVMs) represent a class of numerical techniques that are widely used in the discretisation of elliptic equations, ensuring local conservation of fluxes and often realising high ...

Abstract: An adaptive nonconforming mesh refinement technique for 2-D semiconductor device simulations with the finite volume scheme on triangular meshes is proposed to enhance the numerical accuracy ...

A Python library for solving any system of hyperbolic or parabolic Partial Differential Equations. The PDEs can have stiff source terms and non-conservative components.

School of Nuclear Science and Engineering, Oregon State University, Corvallis, OR, United States Modeling strong shock waves in fluids remains a persistent challenge in computational physics.

Abstract: The report discusses the use of a modified finite volume method for calculating the temperature field of a lithium-ion battery. The modified finite volume method reduces the numerical ...

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SIMPLE-TS is a finite volume method for calculating unsteady, viscous, compressible, and heat-conductive flows. The code is parallel, written in C++ and MPI, and numerical equations are derived ...

In this paper we first review the development of high order ADER finite volume and ADER discontinuous Galerkin schemes on fixed and moving meshes, since their introduction in 1999 by Toro et al. We ...