Results 41 to 50 of about 1,374,010 (208)
Results in Physics, 2021 In this article, fifth order finite volume multi-resolution weighted essentially non-oscillatory (MR-WENO) scheme is developed for solving one-dimensional non linear viscous quantum hydrodynamical model for semiconductor devices with constant temperature.
Tauqeer Ahmed +3 more
doaj +1 more source
A Level Set Method on Particle Flow Maps
International Journal for Numerical Methods in Engineering, Volume 127, Issue 20, 30 October 2026.ABSTRACT Accurate interface tracking is central to numerical simulations involving moving boundaries, including multiphase flows, free‐surface dynamics, phase‐change problems, and other interface‐driven processes in computational mechanics. Although, level set methods provide a flexible implicit representation of evolving interfaces, their grid‐based ...
Jinjin He +5 more
wiley +1 more source
A new weighting method for improving the WENO-Z scheme
, 2018 The calculation of the weight of each substencil is very important for a weighted essentially nonoscillatory (WENO) scheme to obtain high-order accuracy in smooth regions and keep the essentially nonoscillatory property near discontinuities.
申义庆 +7 more
core +1 more source
International Journal for Numerical Methods in Fluids, Volume 98, Issue 10, Page 1105-1125, October 2026.A three‐dimensional fluid‐structure interaction (FSI) framework is developed using the geometric volume‐of‐fluid (VOF) interface capturing method and applied to assess largescale turbulent FSI interactions. The monolithic FSI framework is extensively validated, and despite the discontinuities across the interface, the FSI framework delivers stable and ...
Soham Prajapati +2 more
wiley +1 more source
Journal of Applied Mathematics, 2014 Fifth-order mapped semi-Lagrangian weighted essentially nonoscillatory (WENO) methods at certain smooth extrema are developed in this study. The schemes contain the mapped semi-Lagrangian finite volume (M-SL-FV) WENO 5 method and the mapped compact semi ...
Lang Wu +3 more
doaj +1 more source
Efficient WENO Schemes for Nonuniform Grids
Journal of Scientific ComputingAbstractA set of arbitrarily high-order WENO schemes for reconstructions on nonuniform grids is presented. These non-linear interpolation methods use simple smoothness indicators with a linear cost with respect to the order, making them easy to implement and computationally efficient.
Marti Raga, Maria del Carmen +3 more
openaire +4 more sources
A Comparative Study of Low‐Dissipation Numerical Schemes for Hyperbolic Conservation Laws
Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.ABSTRACT This work provides a comparative assessment of several low‐dissipation numerical schemes for hyperbolic conservation laws, highlighting their performance relative to the classical Harten‐Lax‐van Leer (HLL) schemes. The schemes under consideration include the classical Harten‐Lax‐van Leer‐Contact (HLLC), the recently proposed TV flux splitting,
Shaoshuai Chu, Michael Herty
wiley +1 more source
A high performance fifth-order multistep WENO scheme
, 2019 Many efforts have been made to improve the accuracy of the conventional weighted essentially nonoscillatory (WENO) scheme at transition points (connecting a smooth region and a discontinuity point).
Yiqing Shen +11 more
core +2 more sources
A Technique of Treating Negative Weights in WENO Schemes [PDF]
Journal of Computational Physics, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shi, Jing, Hu, Changqing, Shu, Chi-Wang
openaire +2 more sources
A New Entropy Stable Finite Difference Scheme for Hyperbolic Systems of Conservation Laws
Mathematics, 2023 The hyperbolic problem has a unique entropy solution, which maintains the entropy inequality. As such, people hope that the numerical results should maintain the discrete entropy inequalities accordingly. In view of this, people tend to construct entropy
Zhizhuang Zhang +4 more
doaj +1 more source