High Order Maximum Principle Preserving Finite Volume Method for Convection Dominated Problems
نویسندگان
چکیده
منابع مشابه
Maximum 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 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-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 کاملVery high-order finite volume method for one-dimensional convection diffusion problems
We propose a new finite volume method to provide very high-order accuracy for the convection diffusion problem. The main tool is a polynomial reconstruction based on the mean-value to provide the best order. Numerical examples are proposed to show the method efficiency. Key–Words: Finite Volume, very high-order, convection-diffusion, polynomial reconstruction.
متن کاملThe Discrete Duality Finite Volume Method for Convection-diffusion Problems
In this paper we extend the Discrete Duality Finite Volume (DDFV) formulation to the steady convection-diffusion equation. The discrete gradients defined in DDFV are used to define a cellbased gradient for the control volumes of both the primal and dual meshes, in order to achieve a higher-order accurate numerical flux for the convection term. A priori analysis is carried out to show convergenc...
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: Journal of Scientific Computing
سال: 2015
ISSN: 0885-7474,1573-7691
DOI: 10.1007/s10915-015-0104-6