WENO methods
نویسندگان
چکیده
منابع مشابه
Curvilinear grids for WENO methods in astrophysical simulations
We investigate the applicability of curvilinear grids in the context of astrophysical simulations and WENO schemes. With the non–smooth mapping functions from Calhoun et al. [1], we can tackle many astrophysical problems which were out of scope with the standard grids in numerical astrophysics. We describe the difficulties occurring when implementing curvilinear coordinates into our WENO code, ...
متن کاملMulti-domain hybrid spectral-WENO methods for hyperbolic conservation laws
In this article we introduce the multi-domain hybrid Spectral-WENO method aimed at the discontinuous solutions of hyperbolic conservation laws. The main idea is to conjugate the non-oscillatory properties of the high order weighted essentially non-oscillatory (WENO) finite difference schemes with the high computational efficiency and accuracy of spectral methods. Built in a multi-domain framewo...
متن کاملAdaptive WENO methods based on radial basis functions reconstruction
We explore the use of radial basis functions (RBF) in the weighted essentially non-oscillatory (WENO) reconstruction process used to solve hyperbolic conservation laws, resulting in a numerical method of arbitrarily high order to solve problems with discontinuous solutions. Thanks to the mesh-less property of the RBFs, the method is suitable for non uniform grids and mesh adaptation. We focus o...
متن کاملAdaptive ADER Methods Using Kernel-Based Polyharmonic Spline WENO Reconstruction
An adaptive ADER finite volume method on unstructured meshes is proposed. The method combines high order polyharmonic spline WENO reconstruction with high order flux evaluation. Polyharmonic splines are utilised in the recovery step of the finite volume method yielding a WENO reconstruction that is stable, flexible and optimal in the associated Sobolev (BeppoLevi) space. The flux evaluation is ...
متن کاملAdaptive WENO Methods Based on Radial Basis Function Reconstruction
We explore the use of radial basis functions (RBF) in the weighted essentially non-oscillatory (WENO) reconstruction process used to solve hyperbolic conservation laws, resulting in a numerical method of arbitrarily high order to solve problems with discontinuous solutions. Thanks to the mesh-less property of the RBFs, the method is suitable for non-uniform grids and mesh adaptation. We focus o...
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ژورنال
عنوان ژورنال: Scholarpedia
سال: 2011
ISSN: 1941-6016
DOI: 10.4249/scholarpedia.9709