On Convergence of Semi-discrete High Resolution Schemes with van Leer's Flux Limiter for Conservation Laws
نویسندگان
چکیده
منابع مشابه
The comparison of two high-order semi-discrete central schemes for solving hyperbolic conservation laws
This work presents two high-order, semi-discrete, central-upwind schemes for computing approximate solutions of 1D systems of conservation laws. We propose a central weighted essentially non-oscillatory (CWENO) reconstruction, also we apply a fourth-order reconstruction proposed by Peer et al., and afterwards, we combine these reconstructions with a semi-discrete central-upwind numerical flux ...
متن کاملConvergence of difference schemes with high resolution for conservation laws
Abstract. We are concerned with the convergence of Lax-Wendroff type schemes with high resolution to the entropy solutions for conservation laws. These schemes include the original Lax-Wendroff scheme proposed by Lax and Wendroff in 1960 and its two step versions–the Richtmyer scheme and the MacCormack scheme. For the convex scalar conservation laws with algebraic growth flux functions, we prov...
متن کاملFuzzy flux limiter schemes for hyperbolic conservation laws
A classic strategy to obtain high-quality discretisations of hyperbolic partial differential equations (PDEs) is to employ a non-linear mixture of two types of approximations. The building blocks for this are a monotone first-order scheme that deals with discontinuous solution features and a higher-order method for approximating the smooth solution parts. The blending is performed by the so-cal...
متن کاملHigh Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
The technique of obtaining high resolution, second order, oscillation free (TVD), explicit scalar difference schemes, by the addition of a limited antidiffusive flux to a first order scheme is explored and bounds derived for such limiters. A class of limiters is presented which includes a very compressive limiter due to Roe, and various limiters are compared both theoretically and numerically.
متن کاملHigh Resolution Schemes for Hyperbolic Conservation Laws
A class of new explicit second order accurate finite difference schemes for the computation of weak solutions of hyperbolic conservation laws is presented. These highly nonlinear schemes are obtained by applying a nonoscillatory first order accurate scheme to an appropriately modified flux function. The so-derived second order accurate schemes achieve high resolution while preserving the robust...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Methods and Applications of Analysis
سال: 2005
ISSN: 1073-2772,1945-0001
DOI: 10.4310/maa.2005.v12.n1.a6