An efficient class of WENO schemes with adaptive order for unstructured meshes
Journal of Computational Physics, 2020 Recent advances in finite-difference WENO schemes for hyperbolic conservation laws have resulted in WENO schemes with adaptive order of accuracy. For instance, a WENO-AO(5,3) scheme can provide up to fifth order of accuracy when the smoothness of the ...
Vladimir Florinski +2 more
exaly +2 more sources
Advances in Aerodynamics, 2019 Weighted essentially non-oscillatory (WENO) schemes are a class of high-order shock capturing schemes which have been designed and applied to solve many fluid dynamics problems to study the detailed flow structures and their evolutions.
Shuhai Zhang, Jun Zhu, Chi-Wang Shu
doaj +2 more sources
Implementation and Validation of Semi-Implicit WENO Schemes Using OpenFOAM®
Computation, 2018 In this article, the development of high-order semi-implicit interpolation schemes for convection terms on unstructured grids is presented. It is based on weighted essentially non-oscillatory (WENO) reconstructions which can be applied to the evaluation ...
Tobias Martin, Ivan Shevchuk
doaj +2 more sources
An efficient class of WENO schemes with adaptive order
Journal of Computational Physics, 2016 Chi-Wang Shu +2 more
exaly +2 more sources
Adaptive High-Order A-WENO Schemes Based on a New Local Smoothness Indicator [PDF]
East Asian Journal on Applied Mathematics, 2022 We develop new adaptive alternative weighted essentially non-oscillatory (A-WENO) schemes for hyperbolic systems of conservation laws. The new schemes employ the recently proposed local characteristic decomposition based central-upwind numerical fluxes ...
Alina Chertock +2 more
semanticscholar +1 more source
High order asymptotic preserving finite difference WENO schemes with constrained transport for MHD equations in all sonic Mach numbers [PDF]
Journal of Computational Physics, 2022 In this paper, a high-order semi-implicit (SI) asymptotic preserving (AP) and divergence-free finite difference weighted essentially nonoscillatory (WENO) scheme is proposed for magnetohydrodynamic (MHD) equations.
Wei Chen, Kailiang Wu, Tao Xiong
semanticscholar +1 more source
High Order Semi-implicit WENO Schemes for All Mach Full Euler System of Gas Dynamics [PDF]
SIAM Journal on Scientific Computing, 2021 In this paper, we propose a new high order semi-implicit scheme for the all Mach full Euler equations of gas dynamics. Material waves are treated explicitly, while acoustic waves are treated implicitly, thus avoiding severe CFL restrictions for low Mach ...
S. Boscarino +3 more
semanticscholar +1 more source
Structure-preserving finite volume arbitrary Lagrangian-Eulerian WENO schemes for the shallow water equations [PDF]
Journal of Computational Physics, 2022 This paper develops the structure-preserving finite volume weighted essentially non-oscillatory (WENO) hybrid schemes for the shallow water equations under the arbitrary Lagrangian-Eulerian (ALE) framework, dubbed as ALE-WENO schemes.
Jiahui Zhang, Yinhua Xia, Yan Xu
semanticscholar +1 more source
Sparse-Grid Implementation of Fixed-Point Fast Sweeping WENO Schemes for Eikonal Equations [PDF]
Communication on Applied Mathematics and Computation, 2022 Fixed-point fast sweeping methods are a class of explicit iterative methods developed in the literature to efficiently solve steady-state solutions of hyperbolic partial differential equations (PDEs).
Zachary M. Miksis, Yong-Tao Zhang
semanticscholar +1 more source
High order well-balanced asymptotic preserving finite difference WENO schemes for the shallow water equations in all Froude numbers [PDF]
Journal of Computational Physics, 2021 In this paper, high order semi-implicit well-balanced and asymptotic preserving finite difference WENO schemes are proposed for the shallow water equations with a non-flat bottom topography.
Guanlan Huang, Y. Xing, Tao Xiong
semanticscholar +1 more source