Wavelet methods in computational fluid dynamics
This article reviews state-of-the-art adaptive, multiresolution wavelet methodologies for
modeling and simulation of turbulent flows with various examples. Different numerical …
modeling and simulation of turbulent flows with various examples. Different numerical …
High order weighted essentially nonoscillatory schemes for convection dominated problems
CW Shu - SIAM review, 2009 - SIAM
High order accurate weighted essentially nonoscillatory (WENO) schemes are relatively new
but have gained rapid popularity in numerical solutions of hyperbolic partial differential …
but have gained rapid popularity in numerical solutions of hyperbolic partial differential …
A new type of multi-resolution WENO schemes with increasingly higher order of accuracy
J Zhu, CW Shu - Journal of Computational Physics, 2018 - Elsevier
In this paper, a new type of high-order finite difference and finite volume multi-resolution
weighted essentially non-oscillatory (WENO) schemes is presented for solving hyperbolic …
weighted essentially non-oscillatory (WENO) schemes is presented for solving hyperbolic …
A multi-commodity Lighthill–Whitham–Richards model of lane-changing traffic flow
WL ** - Transportation Research Part B: Methodological, 2013 - Elsevier
Systematic lane changes can seriously deteriorate traffic safety and efficiency inside lane-
drop, merge, and other bottleneck areas. In our previous studies (**, 2010a, **, 2010b), a …
drop, merge, and other bottleneck areas. In our previous studies (**, 2010a, **, 2010b), a …
A family of numerical schemes for kinematic flows with discontinuous flux
Multiphase flows of suspensions and emulsions are frequently approximated by spatially
one-dimensional kinematic models, in which the velocity of each species of the disperse …
one-dimensional kinematic models, in which the velocity of each species of the disperse …
A new type of multi-resolution WENO schemes with increasingly higher order of accuracy on triangular meshes
J Zhu, CW Shu - Journal of Computational Physics, 2019 - Elsevier
In this paper, we continue our work in [46] and propose a new type of high-order finite
volume multi-resolution weighted essentially non-oscillatory (WENO) schemes to solve …
volume multi-resolution weighted essentially non-oscillatory (WENO) schemes to solve …
A new type of third-order finite volume multi-resolution WENO schemes on tetrahedral meshes
J Zhu, CW Shu - Journal of Computational Physics, 2020 - Elsevier
In this continuing paper of Zhu and Shu (2018)[62], Zhu and Shu (2019)[63], we design a
new third-order finite volume multi-resolution weighted essentially non-oscillatory (WENO) …
new third-order finite volume multi-resolution weighted essentially non-oscillatory (WENO) …
An adaptive wavelet-collocation method for shock computations
A simple and robust method for solving hyperbolic conservation equations based on the
adaptive wavelet-collocation method, which uses a dynamically adaptive grid, are …
adaptive wavelet-collocation method, which uses a dynamically adaptive grid, are …
Solving a mixture model of two-phase flow with velocity non-equilibrium using WENO wavelet methods
Purpose The purpose of this work is to present the implementation of weighted essentially
non-oscillatory (WENO) wavelet methods for solving multiphase flow problems. The …
non-oscillatory (WENO) wavelet methods for solving multiphase flow problems. The …
On (essentially) non-oscillatory discretizations of evolutionary convection–diffusion equations
V John, J Novo - Journal of Computational Physics, 2012 - Elsevier
Finite element and finite difference discretizations for evolutionary convection–diffusion–
reaction equations in two and three dimensions are studied which give solutions without or …
reaction equations in two and three dimensions are studied which give solutions without or …