Research from all publishers Recent developments in the application of finite volume methods for diffusion in porous media have focused on enhancing both accuracy and computational flexibility.

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

Finite volume method (FVM) is another widely used numerical technique. The fundamental conservation property of the FVM makes it the preferred method compared to various existing methods viz. finite ...

Control Volume Finite Element Method is a combination of two well known numerical methods: Finite Element Method (FEM) and Finite Volume Method (FVM). These methods aims to represent and evaluate ...

A class of upwind finite volume element method based on tetrahedron partition is put forward for a nonlinear convection diffusion problem. Some techniques, such as calculus of variations, commutating ...

We first introduce triangular finite volume element method with interpolated coefficients for a boundary value problem of semilinear elliptic equation. We then derive convergence estimate in H¹-norm, ...

That is the result of the project for the computational fluid dynamics discipline in a master's program. The project aimed to model the lid-driven cavity, and the heat conduction on plate problems, ...

Article citations More>> Versteeg, H.K. and Malalasekera, W. (2007) An Introduction to Computational Fluid Dynamics: The Finite Volume Method. Pearson Education, Harlow. has been cited by the ...

The development of a high-order finite volume method and a multiblock partition technique of the problem domain to solve the Navier-Stokes equations are the main objectives of this paper, as described ...