Upwind difference scheme

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• Upwind scheme — In computational fluid dynamics, the upwind schemes are any of a class of discretization methods to solve hyperbolic partial differential equations numerically. The wave equation, the advection equation, the Euler equations in fluid dynamics, etc …   Wikipedia

• MUSCL scheme — MUSCL stands for Monotone Upstream centered Schemes for Conservation Laws , and the term was introduced in a seminal paper by Bram van Leer (van Leer, 1979). In this paper he constructed the first high order , total variation diminishing (TVD)… …   Wikipedia

• Flux limiter — Flux limiters are used in high resolution schemes mdash; numerical schemes used to solve problems in science and engineering, particularly fluid dynamics, described by partial differential equations (PDE s). They are used in high resolution… …   Wikipedia

• Shock capturing methods — In computational fluid dynamics, shock capturing methods are a class of techniques for computing inviscid flows with shock waves. Computation of flow through shock waves is an extremely difficult task because such flows results in sharp,… …   Wikipedia

• List of numerical analysis topics — This is a list of numerical analysis topics, by Wikipedia page. Contents 1 General 2 Error 3 Elementary and special functions 4 Numerical linear algebra …   Wikipedia

• climate — /kluy mit/, n. 1. the composite or generally prevailing weather conditions of a region, as temperature, air pressure, humidity, precipitation, sunshine, cloudiness, and winds, throughout the year, averaged over a series of years. 2. a region or… …   Universalium

• MacCormack method — In computational fluid dynamics, the MacCormack method is a widely used discretization scheme for the numerical solution of hyperbolic partial differential equations (hyperbolic PDEs). This second order finite difference method is introduced by R …   Wikipedia

• Crank–Nicolson method — In numerical analysis, the Crank–Nicolson method is a finite difference method used for numerically solving the heat equation and similar partial differential equations.[1] It is a second order method in time, implicit in time, and is numerically …   Wikipedia

• Numerical partial differential equations — is the branch of numerical analysis that studies the numerical solution of partial differential equations (PDEs). Numerical techniques for solving PDEs include the following: The finite difference method, in which functions are represented by… …   Wikipedia

• AUSM — stands for Advection Upstream Splitting Method. It is developed as a numerical inviscid flux function for solving a general system of conservation equations. It is based on the upwind concept and was motivated to provide an alternative approach… …   Wikipedia

• Spectral method — Spectral methods are a class of techniques used in applied mathematics and scientific computing to numerically solve certain Dynamical Systems, often involving the use of the Fast Fourier Transform. Where applicable, spectral methods have… …   Wikipedia