Topic
Upwind scheme
About: Upwind scheme is a research topic. Over the lifetime, 3658 publications have been published within this topic receiving 112797 citations.
Papers published on a yearly basis
1 / 2
Papers
TL;DR: In this article, it is shown that these features can be obtained by constructing a matrix with a certain property U, i.e., property U is a property of the solution of the Riemann problem.
8,689 citations
TL;DR: In this article, a new finite element formulation for convection dominated flows is developed, based on the streamline upwind concept, which provides an accurate multidimensional generalization of optimal one-dimensional upwind schemes.
5,686 citations
TL;DR: In this paper, the finite difference methods of Godunov, Hyman, Lax and Wendroff (two-step), MacCormack, Rusanov, the upwind scheme, the hybrid scheme of Harten and Zwas, the antidiffusion method of Boris and Book, and Glimm's method, a random choice method, are discussed.
2,808 citations
1 Jan 1989
TL;DR: Cell-centered and mesh-vertex upwind finite-volume schemes are developed which utilize multi-dimensional monotone linear reconstruction procedures which differ from existing algorithms (even on structured meshes).
Abstract: Solution and mesh generation algorithms for solving the Euler equations on unstructured meshes consisting of triangle and quadrilateral control volumes are presented. Cell-centered and mesh-vertex upwind finite-volume schemes are developed which utilize multi-dimensional monotone linear reconstruction procedures. These algorithms differ from existing algorithms (even on structured meshes). Numerical results in two dimensions are presented.
2,426 citations
TL;DR: In this article, the authors present a computational scheme for compressible magnetohydrodynamics (MHD) based on the same elements that make up many modern compressible gas dynamics codes: high-resolution upwinding based on an approximate Riemann solver for MHD and limited reconstruction; an optimally smoothing multi-stage time-stepping scheme; and solution-adaptive refinement and coarsening.
1,602 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 15 |
| 2024 | 46 |
| 2023 | 60 |
| 2022 | 104 |
| 2021 | 99 |
| 2020 | 79 |