Results 91 to 100 of about 946,299 (211)

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
core   +1 more source

A quadrature Eulerian-Lagrangian WENO scheme for reservoir simulation [PDF]

, 2015
textThis dissertations focuses on solving the advection problem with the motivation of simulating transport in porous media. A quadrature based Eulerian-Lagrangian scheme is developed to solve the nonlinear advection problem in multiple spatial ...
Pool, Jamie Micayla
core   +1 more source

Central WENO Schemes Through a Global Average Weight

Journal of Scientific Computing, 2018
A novel central weighted essentially non-oscillatory (central WENO; CWENO)-type scheme for the construction of high-resolution approximations to discontinuous solutions to hyperbolic systems of conservation laws is presented. This procedure is based on the construction of a global average weight using the whole set of Jiang-Shu smoothness indicators ...
Antonio Baeza, Raimund Bürger, Pep Mulet, David Zorío   +3 more
openaire   +5 more sources

On the implementation of WENO schemes for a class of polydisperse sedimentation models

Journal of Computational Physics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Raimund Bürger, Rosa Donat, Pep Mulet, Carlos A. Vega   +3 more
openaire   +4 more sources

A Newly Improved WENO Scheme and its Application to the Simulation of Richtmyer-Meshkov Instability [PDF]

, 2013
This paper investigates the use of a newly improved fifth-order weighted ENO scheme on the simulation of 2D Richtmyer-Meshkov instability. The new scheme, which we called WENO-Z-P, arises from the WENO-Z scheme of Borges et al.
Zhang, Pei-Guang, Wang, Jian-Ping
core   +1 more source

Fast Sparse Grid Simulations of Fifth Order WENO Scheme for High Dimensional Hyperbolic PDEs

, 2021
The weighted essentially non-oscillatory (WENO) schemes, especially the fifth order WENO schemes, are a popular class of high order accurate numerical methods for solving hyperbolic partial differential equations (PDEs).
Xiaozhi Zhu (17548005)
core   +1 more source

Review on non-polynomial high-order accuracy nonlinear weighted schemes

Kongqi donglixue xuebao
In comparison to linear schemes, the nonlinear errors inherent in polynomial-based high-order nonlinear weighted schemes significantly affect the resolution when solving weak solutions of hyperbolic conservation laws. To mitigate this impact, researchers
Haomin Li, Meiliang Mao, Jinwei Bai, Weizhong Dong, Huajun Zhu   +4 more
doaj   +1 more source

Fourth-order gas-kinetic scheme for turbulence simulation with multi-dimensional WENO reconstruction

, 2021
In this paper, a fourth-order multi-dimensional weighted essentially non-oscillatory (WENO) reconstruction is developed, which is aiming at the complicated flows.
Xu, Kun, Cao, Guiyu, Pan, Liang
core   +1 more source

STENCIL-NET for equation-free forecasting from data. [PDF]

Sci Rep, 2023
Maddu S, Sturm D, Cheeseman BL, Müller CL, Sbalzarini IF.   +4 more
europepmc   +1 more source

A Class of Finite Difference Schemes with Adaptive Controllable Dispersion and Low Dissipation for Compressible Turbulence

Fluids
The dispersion and dissipation properties of a numerical scheme are critical in simulating flow fields involving a wide range of length scales. In this study, we highlight the common oversight of focusing merely on controlling dispersion error without ...
Jianxin Hao, Qiang Wang
doaj   +1 more source