An efficient hybrid WENO scheme with a problem independent discontinuity locator
Sign Up to like & getrecommendations! Published in 2019 at "International Journal for Numerical Methods in Fluids"
DOI: 10.1002/fld.4739
Abstract: In this paper, we have proposed a new problem independent discontinuity locator for hybridization. Along with this, a new global smoothness indicator is proposed. The hybrid weighted essentially nonoscillatory (WENO) scheme works on the principle… read more here.
Keywords: weno scheme; independent discontinuity; problem independent; scheme ... See more keywords
A high performance fifth‐order multistep WENO scheme
Sign Up to like & getrecommendations! Published in 2019 at "International Journal for Numerical Methods in Fluids"
DOI: 10.1002/fld.4747
Abstract: Funding information NSAF, Grant/Award Number: U1530145; NKRDPC, Grant/Award Number: 2016YFA0401200; SCP, Grant/Award Number: TZ2016002; NSFC, Grant/Award Number: 11872067 and 91852203 Summary Many efforts have been made to improve the accuracy of the conventional weighted essentially… read more here.
Keywords: grant award; multistep weno; order; weno scheme ... See more keywords
A modified fifth‐order WENO‐Z scheme based on the weights of the reformulated adaptive order WENO scheme
Sign Up to like & getrecommendations! Published in 2024 at "International Journal for Numerical Methods in Fluids"
DOI: 10.1002/fld.5314
Abstract: A modified fifth‐order WENO‐Z scheme is proposed by analogy with the non‐normalized weights of the reformulated fifth‐order adaptive order (AO) WENO scheme. We show that if the original fifth‐order WENO‐AO scheme is rewritten as the… read more here.
Keywords: fifth order; weno scheme; order; order weno ... See more keywords
An Improved Third-Order WENO-Z Scheme
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DOI: 10.1007/s10915-017-0587-4
Abstract: In this paper, we develop an improved third-order WENO-Z scheme. Firstly, a new reference smoothness indicator is derived by slightly modifying that of WENO-N3 scheme proposed by Wu and Zhang (Int. J. Numer. Meth. Fl.… read more here.
Keywords: order weno; third order; scheme; weno scheme ... See more keywords
A resolution-enhanced seventh-order weighted essentially non-oscillatory scheme based on non-polynomial reconstructions for solving hyperbolic conservation laws
Sign Up to like & getrecommendations! Published in 2024 at "Physics of Fluids"
DOI: 10.1063/5.0216835
Abstract: In high-resolution numerical simulations of flows characterized by both multiscale turbulence and discontinuities, the conflict between spectral characteristics and stability becomes increasingly pronounced as the order of accuracy improves. To address this challenge, we proposed… read more here.
Keywords: scheme; weno scheme; seventh order; non oscillatory ... See more keywords
WENO-Z scheme with new nonlinear weights for Hamilton-Jacobi equations and adaptive approximation
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DOI: 10.21136/am.2025.0258-24
Abstract: 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 considered WENO-Z… read more here.
Keywords: weno scheme; hamilton jacobi; approximation; order ... See more keywords
Modelling chemical advection during magma ascent
Sign Up to like & getrecommendations! Published in 2024 at "Geoscientific Model Development"
DOI: 10.5194/gmd-17-6105-2024
Abstract: Abstract. Modelling magma transport requires robust numerical schemes for chemical advection. Current numerical schemes vary in their ability to be mass conservative, computationally efficient, and accurate. This study compares four of the most commonly used… read more here.
Keywords: scheme; chemical advection; weno scheme; advection ... See more keywords