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Finite difference method

About: Finite difference method is a research topic. Over the lifetime, 21603 publications have been published within this topic receiving 468852 citations. The topic is also known as: Finite-difference methods & FDM.


Papers
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Journal ArticleDOI
Wei Shyy1
TL;DR: In this article, five different finite difference schemes, first-order upwind, skew-upwind, secondorder up-wind and second-order central differencing, have been studied for high cell Peclet number flows.

209 citations

Journal ArticleDOI
TL;DR: In this article, a numerical simulation of a laboratory experiment involving coupled heat and mass transfer in a horizontal porous medium column with one end subjected to a temperature below 0°C has been carried out.
Abstract: A numerical simulation of a laboratory experiment involving coupled heat and mass transfer in a horizontal porous medium column with one end subjected to a temperature below 0°C has been carried out. The model is essentially that of Harlan (1973) and is solved numerically by the finite difference method using the Crank-Nicholson scheme. The solution yields temperature, liquid water content, and ice content profiles along the column as a function of time. Comparison of the experimental results and the simulation analysis results shows that Harlan's model, with some modification in the hydraulic conductivity of the frozen medium, can be used successfully to simulate numerically the coupled heat and mass transfer processes when ice lensing does not occur.

209 citations

Journal ArticleDOI
TL;DR: In this article, the SUPG method, a SOLD method and two types of FEM-FCT methods are compared with a 3D example with nonhomogeneous Dirichlet boundary conditions and homogeneous Neumann boundary conditions.

207 citations

Journal ArticleDOI
TL;DR: It is proved that finite difference approximations of those classes of equations can be closed with two orders less accuracy at the boundary without reducing the global order of accuracy.

207 citations

Journal ArticleDOI
TL;DR: Efficient, second-order accurate and adaptive finite-difference methods to solve the regularized, strongly anisotropic Cahn–Hilliard equation in 2D and 3D and studies the dynamics of interfaces under strong anisotropy and compares near-equilibrium diffuse interface solutions to the sharp interface Wulff shapes.

207 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023125
2022320
2021724
2020681
2019667
2018694