Embedded WENO: A design strategy to improve existing WENO schemes
نویسندگان
چکیده
منابع مشابه
ENO and WENO Schemes
The weighted essentially nonoscillatory (WENO) schemes, based on the successful essentially nonoscillatory (ENO) schemes with additional advantages, are a popular class of high-order accurate numerical methods for hyperbolic partial differential equations (PDEs) and other convection-dominated problems. The main advantage of such schemes is their capability to achieve arbitrarily high-order form...
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We study WENO(2r-1) reconstruction [Balsara D., Shu C.W.: J. Comp. Phys. 160 (2000) 405–452], with the mapping (WENOM) procedure of the nonlinear weights [Henrick A.K., Aslam T.D., Powers J.M.: J. Comp. Phys. 207 (2005) 542–567], which we extend up to WENO17 (r = 9). We find by numerical experiment that these procedures are essentially nonoscillatory without any stringent CFL limitation (CFL ∈ ...
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The weighted essentially non-oscillatory (WENO) schemes are a popular class of high order numerical methods for hyperbolic partial differential equations (PDEs). While WENO schemes on structured meshes are quite mature, the development of finite volume WENO schemes on unstructured meshes is more difficult. A major difficulty is how to design a robust WENO reconstruction procedure to deal with d...
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A double-GPU code is developed to accelerate WENO schemes. The test problem is a compressible viscous flow. The convective terms are discretized using third- to ninth-order WENO schemes and the viscous terms are discretized by the standard fourth-order central scheme. The code written in CUDA programming language is developed by modifying a single-GPU code. The OpenMP library is used for parall...
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A new third-order Energy Stable Weighted Essentially NonOscillatory (ESWENO) finite difference scheme for scalar and vector linear hyperbolic equations with piecewise continuous initial conditions is developed. The new scheme is proven to be stable in the energy norm for both continuous and discontinuous solutions. In contrast to the existing highresolution shock-capturing schemes, no assumptio...
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ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2017
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2016.11.026