منابع مشابه
Maximum-principle-satisfying high order finite volume WENO schemes for convection-diffusion equations
To easily generalize the maximum-principle-satisfying schemes for scalar conservation laws in [14] to convection diffusion equations, we propose a non-conventional high order finite volume weighted essentially non-oscillatory (WENO) scheme which can be proven maximum-principle-satisfying. Two-dimensional extensions are straightforward. We also show that the same idea can be used to construct hi...
متن کاملMaximum principle preserving high order schemes for convection-dominated diffusion equations
The maximum principle is an important property of solutions to PDE. Correspondingly, it’s of great interest for people to design a high order numerical scheme solving PDE with this property maintained. In this thesis, our particular interest is solving convection-dominated diffusion equation. We first review a nonconventional maximum principle preserving(MPP) high order finite volume(FV) WENO s...
متن کاملMaximum-principle-satisfying High Order Finite Volume Weighted Essentially Nonoscillatory Schemes for Convection-diffusion Equations
To easily generalize the maximum-principle-satisfying schemes for scalar conservation laws in [X. Zhang and C.-W. Shu, J. Comput. Phys., 229 (2010), pp. 3091–3120] to convection diffusion equations, we propose a nonconventional high order finite volume weighted essentially nonoscillatory (WENO) scheme which can be proved maximum-principle-satisfying. Two-dimensional extensions are straightforwa...
متن کاملMaximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments
In an earlier study (Zhang & Shu 2010b J. Comput. Phys. 229, 3091–3120 (doi:10.1016/ j.jcp.2009.12.030), genuinely high-order accurate finite volume and discontinuous Galerkin schemes satisfying a strict maximum principle for scalar conservation laws were developed. The main advantages of such schemes are their provable high-order accuracy and their easiness for generalization to multi-dimensio...
متن کاملOn maximum-principle-satisfying high order schemes for scalar conservation laws
We construct uniformly high order accurate schemes satisfying a strict maximum principle for scalar conservation laws. A general framework (for arbitrary order of accuracy) is established to construct a limiter for finite volume schemes (e.g. essentially non-oscillatory (ENO) or weighted ENO (WENO) schemes) or discontinuous Galerkin (DG) method with first order Euler forward time discretization...
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: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
سال: 2011
ISSN: 1578-7303,1579-1505
DOI: 10.1007/s13398-011-0022-x