Topic
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 published on a yearly basis
1 / 2
Papers
TL;DR: In this article, a von Neumann stability analysis of the equations of smoothed particle hydrodynamics (SPH) along with a critical discussion of various parts of the algorithm is presented.
600 citations
TL;DR: The PISO algorithm as mentioned in this paper is a non-iterative method for solving the implicity discretised, time-dependent, fluid flow equations, which is applied in conjunction with a finite-volume technique employing a backward temporal difference scheme to the computation of compressible and incompressible flow cases.
589 citations
TL;DR: In this paper, a variable-order fractional advection-diffusion equation with a nonlinear source term on a finite domain with explicit and implicit Euler approximations is considered.
Abstract: In this paper, we consider a variable-order fractional advection-diffusion equation with a nonlinear source term on a finite domain. Explicit and implicit Euler approximations for the equation are proposed. Stability and convergence of the methods are discussed. Moveover, we also present a fractional method of lines, a matrix transfer technique, and an extrapolation method for the equation. Some numerical examples are given, and the results demonstrate the effectiveness of theoretical analysis.
565 citations
TL;DR: In this paper, the authors present a review of the main components of calculation methods, based on the solution of conservation equations in differential form, for the velocity, temperature and concentration fields in turbulent combusting flows.
555 citations
TL;DR: In this article, the basic physical equations as well as a computer code for the simulation of one-dimensional radiation hydrodynamics are described and combined with a multigroup method for the radiation transport.
554 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 53 |
| 2024 | 136 |
| 2023 | 170 |
| 2022 | 357 |
| 2021 | 733 |
| 2020 | 690 |