Results 91 to 100 of about 4,064 (207)
Projection methods for incompressible flow problems with WENO finite difference schemes [PDF]
, 2015 Weighted essentially non-oscillatory (WENO) finite difference schemes have been recommended in a competitive study of discretizations for scalar evolutionary con\-vec\-tion-diffusion equations [20].
de Frutos, Javier +3 more
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Relationship Between Structured Mesh Quality and Error of Difference Scheme
气体物理The human resources and work time required for mesh generation are relatively high in the overall numerical simulation cycle of a flow field and represent a bottleneck in computational fluid dynamics applications.
Jun LIU, Yu LIU
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Hermite WENO schemes for Hamilton-Jacobi equations [PDF]
, 2005 In this paper, a class of weighted essentially non-oscillatory (WENO) schemes based on Hermite polynomials, termed HWENO (Hermite WENO) schemes, for solving Hamilton-Jacobi equations is presented. The idea of the reconstruction in the HWENO schemes comes
邱建贤, Qiu, JX, Shu, CW
core
An Adaptive WENO Collocation Method for Differential Equations with Random Coefficients
Mathematics, 2016 The stochastic collocation method for solving differential equations with random inputs has gained lots of popularity in many applications, since such a scheme exhibits exponential convergence with smooth solutions in the random space.
Wei Guo +3 more
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Implicit finite volume WENO schemes for solving hyperbolic conservation laws [PDF]
, 2019 In this dissertation, we consider high order accurate, implicit, finite volume, weighted essentially non-oscillatoy (WENO) schemes for solving advection-diffusion equations.
Zhao, Xikai
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Accuracy of MUSCL and WENO Schemes on Non-Uniform Structured Meshes
气体物理The difference schemes constructed on the basis of one-dimensional uniform grids must be extended to non-uniform or curvilinear grids in practical applications, and the coordinate transformation process introduces geometry-induced errors. The accuracy of
Jun LIU, Yu LIU
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An alternative reconstruction for WENO schemes with adaptive order
CoRR, 2021 We propose an alternative reconstruction for weighted essentially non-oscillatory schemes with adaptive order (WENO-AO) for solving hyperbolic conservation laws. The alternative reconstruction has a more concise form than the original WENO-AO reconstruction. Moreover, it is a strictly convex combination of polynomials with unequal degrees.
openaire +2 more sources
Optimized Weighted Essentially Nonoscillatory Third-Order Schemes for Hyperbolic Conservation Laws
Journal of Applied Mathematics, 2013 We describe briefly how a third-order Weighted Essentially Nonoscillatory (WENO) scheme is derived by coupling a WENO spatial discretization scheme with a temporal integration scheme. The scheme is termed WENO3.
A. R. Appadu, A. A. I. Peer
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WENO-Z scheme with new nonlinear weights for Hamilton-Jacobi equations and adaptive approximation
summary:A new fifth-order weighted essentially nonoscillatory (WENO) scheme is designed to approximate Hamilton-Jacobi equations. As employing a fifth-order linear approximation and three third-order ones on the same six-point stencil as before, a newly ...
Han, Wonho, Kim, Kwangil, Ri, Kwanhung
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ComputationIn this paper, we propose the MUSWENO scheme, a novel mapped weighted essentially non-oscillatory (WENO) method that employs unequal-sized stencils, for solving nonlinear degenerate parabolic equations.
Zhengwei Hou, Liang Li
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