Nature

Finite Volume Methods for Diffusion Equations in Porous Media

Finite volume methods (FVM) have emerged as a crucial numerical framework for approximating diffusion equations in porous media. These schemes discretise the governing partial differential equations ...
Nature

Finite Volume Methods for Cross-Diffusion and Parabolic Equations

Finite Volume Methods (FVM) have become a cornerstone in the numerical treatment of partial differential equations, particularly those governing cross-diffusion and parabolic processes. These ...
University of Sheffield

Coupled vertex-centred finite volume methods for large-strain elastoplasticity

Federico Mazzanti's project introduces a novel family of vertex-centred finite volume solvers for modeling both small-strain and large-strain elastoplasticity. Developed within the OpenFOAM ...
National Academies of Sciences%2c Engineering%2c and Medicine

Twenty-Second Symposium on Naval Hydrodynamics

Viscous free-surface flows associated with water entry were predicted by a finite volume method incorporating a free-surface capturing model. The method was applied to simulate two- and ...
Machine Design

What’s The Difference Between FEM, FDM and FVM?

What Are FEM, FDM and FVM? FEM, FDM and FVM differ from one another in important ways. Understanding these distinctions is key to selecting the method most appropriate for your purposes. The ...