4.6 Review

High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Mathematics

Multiresolution algorithms for the numerical solution of hyperbolic conservation laws

Ami Harten

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS (2010)

Article Mathematics, Applied

Convergence of Godunov-type schemes for scalar conservation laws under large time steps

Jing-Mei Qiu et al.

SIAM JOURNAL ON NUMERICAL ANALYSIS (2008)

Article Mathematics, Applied

A high order WENO scheme for a hierarchical size-structured population model

Jun Shen et al.

JOURNAL OF SCIENTIFIC COMPUTING (2007)

Article Computer Science, Interdisciplinary Applications

Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems

Michael Dumbser et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2007)

Article Computer Science, Interdisciplinary Applications

High-order well-balanced finite volume WENO schemes for shallow water equation with moving water

Sebastian Noelle et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2007)

Article Astronomy & Astrophysics

A WENO algorithm of the temperature and ionization profiles around a point source

Jing-Mei Qiu et al.

NEW ASTRONOMY (2007)

Article Computer Science, Interdisciplinary Applications

Adaptive multiresolution WENO schemes for multi-species kinematic flow models

Raimund Burger et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2007)

Article Computer Science, Interdisciplinary Applications

High order residual distribution conservative finite difference WENO schemes for convection-diffusion steady state problems on non-smooth meshes

Ching-Shan Chou et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2007)

Article Computer Science, Interdisciplinary Applications

Multi-domain hybrid spectral-WENO methods for hyperbolic conservation laws

Bruno Costa et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2007)

Article Mathematics, Applied

A new smoothness indicator for the WENO schemes and its effect on the convergence to steady state solutions

Shuhai Zhang et al.

JOURNAL OF SCIENTIFIC COMPUTING (2007)

Article Computer Science, Interdisciplinary Applications

Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems

Michael Dumbser et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2007)

Article Mathematics, Applied

On multiresolution schemes using a stencil selection procedure: applications to ENO schemes

Sergio Amat et al.

NUMERICAL ALGORITHMS (2007)

Article Mathematics, Applied

Linear instability of the fifth-order WENO method

Rong Wang et al.

SIAM JOURNAL ON NUMERICAL ANALYSIS (2007)

Article Mathematics, Applied

High resolution schemes for a hierarchical size-structured model

Jun Shen et al.

SIAM JOURNAL ON NUMERICAL ANALYSIS (2007)

Article Computer Science, Interdisciplinary Applications

A bandwidth-optimized WENO scheme for the effective direct numerical simulation of compressible turbulence

M. P. Martin et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2006)

Review Computer Science, Interdisciplinary Applications

Spatially adaptive techniques for level set methods and incompressible flow

Frank Losasso et al.

COMPUTERS & FLUIDS (2006)

Article Computer Science, Interdisciplinary Applications

Discontinuous Galerkin method based on non-polynomial approximation spaces

Ling Yuan et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2006)

Article Mathematics, Applied

High order fast sweeping methods for static Hamilton-Jacobi equations

Yong-Tao Zhang et al.

JOURNAL OF SCIENTIFIC COMPUTING (2006)

Article Astronomy & Astrophysics

A WENO algorithm for the radiative transfer and ionized sphere at reionization

Jing-Mei Qiu et al.

NEW ASTRONOMY (2006)

Article Mathematics, Applied

Recovering high-order accuracy in WENO computations of steady-state hyperbolic systems

Sigal Gottlieb et al.

JOURNAL OF SCIENTIFIC COMPUTING (2006)

Article Engineering, Aerospace

Computational study of shock mitigation and drag reduction by pulsed energy lines

Kevin Kremeyer et al.

AIAA JOURNAL (2006)

Article Mathematics, Applied

Staggered finite difference schemes for conservation laws

Gabriella Puppo et al.

JOURNAL OF SCIENTIFIC COMPUTING (2006)

Article Mathematics, Applied

A fifth order flux implicit WENO method

Sigal Gottlieb et al.

JOURNAL OF SCIENTIFIC COMPUTING (2006)

Article Physics, Fluids & Plasmas

Effects of shock waves on Rayleigh-Taylor instability

Yong-Tao Zhang et al.

PHYSICS OF PLASMAS (2006)

Article Computer Science, Interdisciplinary Applications

High order residual distribution conservative finite difference WENO schemes for steady state problems on non-smooth meshes

CS Chou et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2006)

Article Computer Science, Interdisciplinary Applications

High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms

YL Xing et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2006)

Article Astronomy & Astrophysics

RAM: A relativistic adaptive mesh refinement hydrodynamics code

WQ Zhang et al.

ASTROPHYSICAL JOURNAL SUPPLEMENT SERIES (2006)

Article Computer Science, Interdisciplinary Applications

2D semiconductor device simulations by WENO-Boltzmann schemes: Efficiency, boundary conditions and comparison to Monte Carlo methods

JA Carrillo et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2006)

Article Computer Science, Interdisciplinary Applications

Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows

S Noelle et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2006)

Article Computer Science, Interdisciplinary Applications

Simulations of pulsating one-dimensional detonations with true fifth order accuracy

AK Henrick et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2006)

Article Computer Science, Interdisciplinary Applications

A weighted essentially non-oscillatory numerical scheme for a multi-class traffic flow model on an inhomogeneous highway

P Zhang et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2006)

Article Physics, Multidisciplinary

Low-redshift cosmic baryon fluid on large scales and She-Leveque universal scaling

P He et al.

PHYSICAL REVIEW LETTERS (2006)

Article Mathematics, Applied

Central WENO schemes for Hamilton-Jacobi equations on triangular meshes

Doron Levy et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2006)

Article Astronomy & Astrophysics

Simulating the boundary layer between a white dwarf and its accretion disk

JL Fisker et al.

ASTROPHYSICAL JOURNAL (2005)

Article Mechanics

Multistage interaction of a shock wave and a strong vortex

SH Zhang et al.

PHYSICS OF FLUIDS (2005)

Article Astronomy & Astrophysics

Power spectrum and intermittency of Lyα transmitted flux of QSO HE 2347-4342

P Jamkhedkar et al.

ASTROPHYSICAL JOURNAL (2005)

Article Thermodynamics

Numerical simulations of underexpanded supersonic jet and free shear layer using WENO schemes

TS Cheng et al.

INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW (2005)

Article Computer Science, Interdisciplinary Applications

High order finite difference WENO schemes with the exact conservation property for the shallow water equations

YL Xing et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2005)

Article Computer Science, Interdisciplinary Applications

Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points

AK Henrick et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2005)

Article Mathematics, Applied

Numerical convergence study of nearly incompressible, inviscid Taylor-Green vortex flow

CW Shu et al.

JOURNAL OF SCIENTIFIC COMPUTING (2005)

Article Computer Science, Interdisciplinary Applications

Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method II: Two dimensional case

JX Qiu et al.

COMPUTERS & FLUIDS (2005)

Article Mathematics, Applied

Numerical simulation of high Mach number astrophysical jets with radiative cooling

Y Ha et al.

JOURNAL OF SCIENTIFIC COMPUTING (2005)

Article Computer Science, Interdisciplinary Applications

Anti-diffusive flux corrections for high order finite difference WENO schemes

ZF Xu et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2005)

Article Engineering, Chemical

Numerical simulation of interphase mass transfer with the level set approach

C Yang et al.

CHEMICAL ENGINEERING SCIENCE (2005)

Article Computer Science, Interdisciplinary Applications

ADER schemes for three-dimensional non-linear hyperbolic systems

VA Titarev et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2005)

Article Computer Science, Interdisciplinary Applications

Hermite WENO schemes for Hamilton-Jacobi equations

JX Qiu et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2005)

Article Engineering, Aerospace

Numerical study of the. starting process in a supersonic nozzle

AS Mouronval et al.

JOURNAL OF PROPULSION AND POWER (2005)

Article Engineering, Aerospace

Large Eddy Simulation of shock wave boundary layer interaction

S Teramoto

TRANSACTIONS OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES (2005)

Article Mathematics, Applied

Runge-Kutta discontinuous Galerkin method using WENO limiters

JX Qiu et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2005)

Article Mathematics, Applied

The explicit simplified interface method for compressible multicomponent flows

B Lombard et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2005)

Article Mathematics, Applied

Approximation of hyperbolic models for chemosensitive movement

F Filbet et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2005)

Article Mathematics, Applied

A weighted essentially nonoscillatory, large time-step scheme for Hamilton -Jacobi equations

E Carlini et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2005)

Article Mathematics, Applied

Modeling, numerical methods, and simulation for particle-fluid two-phase flow problems

Q Zhang et al.

COMPUTERS & MATHEMATICS WITH APPLICATIONS (2004)

Article Computer Science, Interdisciplinary Applications

Power ENO methods: a fifth-order accurate Weighted Power ENO method

S Serna et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2004)

Article Computer Science, Interdisciplinary Applications

Level-set based numerical simulation of a migrating and dissolving liquid drop in a cylindrical cavity

E Bassano

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS (2004)

Article Mathematics, Applied

A numerical study on large-time asymptotics of the Lifshitz-Slyozov system

JA Carrillo et al.

JOURNAL OF SCIENTIFIC COMPUTING (2004)

Article Computer Science, Interdisciplinary Applications

Comparison of finite difference methods for the numerical simulation of reacting flow

K Alhumaizi

COMPUTERS & CHEMICAL ENGINEERING (2004)

Article Mechanics

A pseudocompressibility method for the numerical simulation of incompressible multifluid flows

RR Nourgaliev et al.

INTERNATIONAL JOURNAL OF MULTIPHASE FLOW (2004)

Article Computer Science, Interdisciplinary Applications

Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: one-dimensional case

JX Qiu et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2004)

Article Computer Science, Interdisciplinary Applications

Finite-volume WENO schemes for three-dimensional conservation laws

VA Titarev et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2004)

Article Multidisciplinary Sciences

The stochastic piston problem

G Lin et al.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2004)

Article Computer Science, Interdisciplinary Applications

Numerical study on hydrodynamic and quasi-neutral approximations for collisionless two-species plasmas

S Labrunie et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2004)

Article Computer Science, Interdisciplinary Applications

Implicit WENO shock capturing scheme for unsteady flows. Application to one-dimensional Euler equations

A Cadiou et al.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS (2004)

Article Computer Science, Interdisciplinary Applications

Extension of ENO and WENO schemes to one-dimensional sediment transport equations

N Crnjaric-Zic et al.

COMPUTERS & FLUIDS (2004)

Article Mechanics

Dynamics of ring vortices impinging on planar shock waves

S Pirozzoli

PHYSICS OF FLUIDS (2004)

Article Mathematics, Applied

Numerical simulation of pulse detonation engine phenomena

X He et al.

JOURNAL OF SCIENTIFIC COMPUTING (2003)

Article Computer Science, Interdisciplinary Applications

Development of optimized weighted-ENO schemes for multiscale compressible flows

D Ponziani et al.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS (2003)

Article Computer Science, Interdisciplinary Applications

High-order semi-discrete central-upwind schemes for multi-dimensional Hamilton-Jacobi equations

BA Steve et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2003)

Article Computer Science, Interdisciplinary Applications

Localization and spreading of contact discontinuity layers in simulations of compressible dissipationless flows

NJ Zabusky et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2003)

Article Engineering, Aerospace

Shock/vortex interactions induced by blast waves

SM Liang et al.

AIAA JOURNAL (2003)

Article Computer Science, Interdisciplinary Applications

Resolution of high order WENO schemes for complicated flow structures

J Shi et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2003)

Article Mechanics

High-order finite difference and finite volume WENO schemes and discontinuous galerkin methods for CFD

CW Shu

INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS (2003)

Article Engineering, Aerospace

Hypersonic aerodynamic heating prediction using weighted essentially nonoscillatory schemes

TK Lee et al.

JOURNAL OF SPACECRAFT AND ROCKETS (2003)

Article Computer Science, Interdisciplinary Applications

A flux-split algorithm applied to conservative models for multicomponent compressible flows

A Marquina et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2003)

Article Computer Science, Interdisciplinary Applications

A WENO-solver for the transients of Boltzmann-Poisson system for semiconductor devices: performance and comparisons with Monte Carlo methods

JA Carrillo et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2003)

Article Computer Science, Interdisciplinary Applications

A weighted essentially non-oscillatory numerical scheme for a multi-class Lighthill-Whitham-Richards traffic flow model

MQ Zhang et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2003)

Article Mathematics, Applied

Shock-vortex interactions at high Mach numbers

A Rault et al.

JOURNAL OF SCIENTIFIC COMPUTING (2003)

Article Mathematics, Applied

Multidomain WENO finite difference method with interpolation at subdomain interfaces

K Sebastian et al.

JOURNAL OF SCIENTIFIC COMPUTING (2003)

Article Mathematics, Applied

Understanding the Shu-Osher conservative finite difference form

B Merriman

JOURNAL OF SCIENTIFIC COMPUTING (2003)

Article Mathematics, Applied

HIGH-ORDER WENO SCHEMES FOR HAMILTON-JACOBI EQUATIONS ON TRIANGULAR MESHES

Yong-Tao Zhang et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2003)

Article Mathematics, Applied

Finite difference weno schemes with Lax-Wendroff-type time discretizations

JX Qiu et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2003)

Article Mathematics, Applied

High-order central WENO schemes for multidimensional Hamilton-Jacobi equations

S Bryson et al.

SIAM JOURNAL ON NUMERICAL ANALYSIS (2003)

Article Computer Science, Interdisciplinary Applications

On the construction, comparison, and local characteristic decomposition for high-order central WENO schemes

JX Qiu et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2002)

Article Mathematics, Applied

The Child-Langmuir limit for semiconductors:: A numerical validation

MJ Cáceres et al.

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE (2002)

Article Engineering, Aerospace

Planar blast/vortex interaction and sound generation

H Chen et al.

AIAA JOURNAL (2002)

Article Computer Science, Interdisciplinary Applications

ENO and WENO schemes with the exact conservation property for one-dimensional shallow water equations

S Vukovic et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2002)

Article Computer Science, Interdisciplinary Applications

Conservative hybrid compact-WENO schemes for shock-turbulence interaction

S Pirozzoli

JOURNAL OF COMPUTATIONAL PHYSICS (2002)

Article Mechanics

Non-breaking and breaking solitary wave run-up

Y Li et al.

JOURNAL OF FLUID MECHANICS (2002)

Article Engineering, Aerospace

Three-dimensional wing flow computations using implicit WENO Euler solvers

JY Yang et al.

JOURNAL OF AIRCRAFT (2002)

Article Computer Science, Interdisciplinary Applications

A technique of treating negative weights in WENO schemes

J Shi et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2002)

Article Thermodynamics

Modeling tools for the prediction of premixed flame transfer functions

T Schuller et al.

PROCEEDINGS OF THE COMBUSTION INSTITUTE (2002)

Article Computer Science, Interdisciplinary Applications

Optimized weighted essentially nonoscillatory schemes for linear waves with discontinuity

ZJ Wang et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2001)

Article Mathematics, Applied

Point value multiscale algorithms for 2D compressible flows

G Chiavassa et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2001)

Article Mathematics, Applied

Turbulence spectra characteristics of high order schemes for direct and large eddy simulation

F Ladeinde et al.

APPLIED NUMERICAL MATHEMATICS (2001)

Article Mathematics, Applied

Strong stability-preserving high-order time discretization methods

S Gottlieb et al.

SIAM REVIEW (2001)

Article Mechanics

Weighted Compact Scheme for shock capturing

L Jiang et al.

INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS (2001)

Article Physics, Fluids & Plasmas

Dynamical evolution of coherent structures in intermittent two-dimensional MHD turbulence

CC Wu et al.

IEEE TRANSACTIONS ON PLASMA SCIENCE (2000)

Article Computer Science, Interdisciplinary Applications

Developing high-order weighted compact nonlinear schemes

XG Deng et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2000)

Article Mathematics, Applied

Compact central WENO schemes for multidimensional conservation laws

D Levy et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2000)

Article Mathematics, Applied

Weighted ENO schemes for Hamilton-Jacobi equations

GS Jiang et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2000)

Article Computer Science, Interdisciplinary Applications

Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy

DS Balsara et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2000)

Article Mathematics, Applied

A third order central WENO scheme for 2D conservation laws

D Levy et al.

APPLIED NUMERICAL MATHEMATICS (2000)

Article Engineering, Multidisciplinary

Device benchmark comparisons via kinetic, hydrodynamic, and high-field models

C Cercignani et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2000)