Application of WENO scheme

• Carrillo JA, Gamba IM, Majorana A, et al.: 2D semiconductor device simulations by WENO-Boltzmann schemes: Efficiency, boundary conditions and comparison to Monte Carlo methods,  JOURNAL OF COMPUTATIONAL PHYSICS 214 (1): 55-80 MAY 1 2006

• Filbet F, Shu CW: Approximation of hyperbolic models for chemosensitive movement,  SIAM JOURNAL ON SCIENTIFIC COMPUTING 27 (3): 850-872 2005

• Zhang P, Wong SC, Shu CW: A weighted essentially non-oscillatory numerical scheme for a multi-class traffic flow model on an inhomogeneous highway,  JOURNAL OF COMPUTATIONAL PHYSICS 212 (2): 739-756 MAR 1 2006

• Domaingo A, Galler M, Schurrer F: A combined multicell-WENO solver for the Boltzmann-Poisson system of 1D semiconductor devices, COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING 24 (4): 1311-1327 2005

• Cheng TS, Lee KS: Numerical simulations of underexpanded supersonic jet and free shear layer using WENO schemes, INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW 26 (5): 755-770 OCT 2005

• Kim D, Kwon JH:  A high-order accurate hybrid scheme using a central flux scheme and a WENO scheme for compressible flowfield analysis,  JOURNAL OF COMPUTATIONAL PHYSICS 210 (2): 554-583 DEC 10 2005

• Tan KA, Morison RP, Leslie LM: A comparison of high-order explicit and non-oscillatory finite difference advection schemes for climate and weather models, METEOROLOGY AND ATMOSPHERIC PHYSICS 89 (1-4): 251-267 JUL 2005

• Xing YL, Shu CW:  High order finite difference WENO schemes with the exact conservation property for the shallow water equations, JOURNAL OF COMPUTATIONAL PHYSICS 208 (1): 206-227 SEP 1 2005

• Qiu JX, Shu CW:  Runge-Kutta discontinuous Galerkin method using WENO limiters, SIAM JOURNAL ON SCIENTIFIC COMPUTING 26 (3): 907-929 2005

• Qiu JX, Shu CW: Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method II: Two dimensional case, COMPUTERS & FLUIDS 34 (6): 642-663 JUL 2005

• Torrilhon M, Balsara DS: High order WENO schemes: investigations on non-uniform convergence for MHD Riemann problems, JOURNAL OF COMPUTATIONAL PHYSICS 201 (2): 586-600 DEC 10 2004

• Feng LL, Shu CW, Zhang MP: A hybrid cosmological hydrodynamic/N-body code based on a weighted essentially nonoscillatory scheme, ASTROPHYSICAL JOURNAL 612 (1): 1-13 Part 1 SEP 1 2004

• Hu XY, Khoo BC: An interface interaction method for compressible multifluids, JOURNAL OF COMPUTATIONAL PHYSICS 198 (1): 35-64 JUL 20 2004

• Qiu JX, Shu CW: Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: one-dimensional case, JOURNAL OF COMPUTATIONAL PHYSICS 193 (1): 115-135 JAN 1 2004

• Zhang YT, Shi J, Shu CW, et al.: Numerical viscosity and resolution of high-order weighted essentially nonoscillatory schemes for compressible flows with high Reynolds numbers, PHYSICAL REVIEW E 68 (4): Art. No. 046709 Part 2 OCT 2003

• Zhang MQ, Shu CW, Wong GCK, et al.: A weighted essentially non-oscillatory numerical scheme for a multi-class Lighthill-Whitham-Richards traffic flow model, JOURNAL OF COMPUTATIONAL PHYSICS 191 (2): 639-659 NOV 1 2003

• Crnjaric-Zic N, Vukovic S, Sopta L: Extension of ENO and WENO schemes to one-dimensional sediment transport equations,  COMPUTERS & FLUIDS 33 (1): 31-56 JAN 2004

• Ponziani D, Pirozzoli S, Grasso F: Development of optimized weighted-ENO schemes for multiscale compressible flows, INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS 42 (9): 953-977 JUL 30 2003

• Lee TK, Zhong XL, Gong L, et al.: Hypersonic aerodynamic heating prediction using weighted essentially nonoscillatory schemes, JOURNAL OF SPACECRAFT AND ROCKETS 40 (2): 294-298 MAR-APR 2003

• Carrillo JA, Gamba IM, Majorana A, et al.: A WENO-solver for the transients of Boltzmann-Poisson system for semiconductor devices: performance and comparisons with Monte Carlo methods, JOURNAL OF COMPUTATIONAL PHYSICS 184 (2): 498-525 JAN 20 2003

• Vukovic S, Sopta L: ENO and WENO schemes with the exact conservation property for one-dimensional shallow water equations, JOURNAL OF COMPUTATIONAL PHYSICS 179 (2): 593-621 JUL 1 2002

• Pirozzoli S: Conservative hybrid compact-WENO schemes for shock-turbulence interaction, JOURNAL OF COMPUTATIONAL PHYSICS 178 (1): 81-117 MAY 1 2002

• Yang JY, Yen RH, Perng YC: Three-dimensional wing flow computations using implicit WENO Euler solvers, JOURNAL OF AIRCRAFT 39 (1): 181-184 JAN-FEB 2002

• Balsara DS: Divergence-free adaptive mesh refinement for magnetohydrodynamics, JOURNAL OF COMPUTATIONAL PHYSICS 174 (2): 614-648 DEC 10 2001

• Yang JY, Perng YC, Yen RH: Implicit weighted essentially nonoscillatory schemes for the compressible Navier-Stokes equations,  AIAA JOURNAL 39 (11): 2082-2090 NOV 2001

• Jiang L, Shan H, Liu XQ: Weighted Compact Scheme for shock capturing, INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS 15 (2): 147-155 2001

• Garnier E, Sagaut P, Deville M: A class of explicit ENO filters with application to unsteady flows, JOURNAL OF COMPUTATIONAL PHYSICS 170 (1): 184-204 JUN 10 2001

• Epstein B, Averbuch A, Yavneh I: An accurate ENO driven multigrid method applied to 3D turbulent transonic flows, JOURNAL OF COMPUTATIONAL PHYSICS 168 (2): 316-338 APR 10 2001

• Carrillo JA, Gamba IM, Shu CW: Computational macroscopic approximations to the one-dimensional relaxation-time kinetic system for semiconductors, PHYSICA D-NONLINEAR PHENOMENA 146 (1-4): 289-306 NOV 15 2000

• Chen YN, Yang SC, Yang JY: Implicit weighted essentially non-oscillatory schemes for the incompressible Navier-Stokes equations, INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS 31 (4): 747-765 OCT 30 1999

• Fedkiw RP, Aslam T, Merriman B, et al.: A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method), JOURNAL OF COMPUTATIONAL PHYSICS 152 (2): 457-492 JUL 1 1999

• Jiang GS, Wu CC: A high-order WENO finite difference scheme for the equations of ideal magnetohydrodynamics, JOURNAL OF COMPUTATIONAL PHYSICS 150 (2): 561-594 APR 10 1999

• Montarnal P, Shu CW: Real gas computation using an energy relaxation method and high-order WENO schemes, JOURNAL OF COMPUTATIONAL PHYSICS 148 (1): 59-80 JAN 1 1999

• Yang JY, Yang SC, Chen YN, et al.: Implicit weighted ENO schemes for the three-dimensional incompressible Navier-Stokes equations, JOURNAL OF COMPUTATIONAL PHYSICS 146 (1): 464-487 OCT 10 1998