Cost-effective accurate coarse-grid method for highly convective multidimensional unsteady flows

Keywords

Stencil, Interpolation (computer graphics), Grid, Classification of discontinuities, Order of accuracy

References

• Universal Limiter for Transient Interpolation Modeling of the Advective Transport Equations : The ULTIMATE Conservative Difference SchemeB. P. Leonard — 1988
• Note on the von Neumann stability of the explicit FTCS convective diffusion equationB. P. Leonard — 1980
• Sharp monotonic resolution of discontinuities without clipping of narrow extremaB. P. Leonard, H. S. Niknafs — 1991
• Systems of conservation lawsPeter D. Lax, Burton Wendroff — 1960
• A method for reducing dispersion in convective difference schemesJacob E. Fromm — 1968
• A stable and accurate convective modelling procedure based on quadratic upstream interpolationB. P. Leonard — 1990
• CHARACTERISTIC-BASED SCHEMES FOR THE EULER EQUATIONSPhilip L. Roe — 1986
• Computational techniques for fluid dynamicsKarkenahalli Srinivas, Clive Fletcher — 1992
• Computational Techniques for Fluid Dynamics 1Clive Fletcher — 1998

Cited by

• 3d-Groundwater Modeling with Pmwin: A Simulation System for Modeling Groundwater Flow and PollutionWen-Hsing Chiang, Wolfgang Kinzelbach — 2001
• Positivity-preserving numerical schemes for multidimensional advectionB. P. Leonard, M. K. MacVean, Adrian Lock — 1993
• Engineering solutions to water quality problems in lakesSebastián Morillo — 2008
• An Assembly Model for Simulation of Large‐Scale Ground Water Flow and TransportJunqi Huang, John A. Christ, Mark N. Goltz — 2008
• Modifying the residence time and dilution capacity of a reservoir by altering internal flow‐pathsSebastián Morillo, Jörg Imberger, Jason P. Antenucci — 2006
• Laplace-transform finite element solution of nonlocal and localized stochastic moment equations of transportEric Morales‐Casique, Shlomo P. Neuman — 2009
• Influence of wind and lake morphometry on the interaction between two rivers entering a stratified lakeSebastián Morillo, Jörg Imberger, Jason P. Antenucci — 2008
• Modelling the fate of oxidisable organic contaminants in groundwater. In C. T. Miller, M. B. Parlange, and S. M. Hassanizadeh (editors),D. A. Barry, Henning Prommer, Cass T. Miller — 2002
• Numerical diffusion and the tracking of solute fields in system codes: Part II. Multi-dimensional flowsRafael Macián‐Juan, J.H. Mahaffy — 1998
• MODELLING OF FLOW IN RECTANGULAR SEDIMENTATION TANKS BY AN EXPLICIT THIRD‐ORDER UPWINDING TECHNIQUEHany Gerges, John A. McCorquodale — 1997
• Tidal Flow and Transport Modeling Using ULTIMATE QUICKEST SchemeBinliang Lin, Roger A. Falconer — 1997
• The third‐order polynomial method for two‐dimensional convection and diffusionPavel Tkalich, Eng Soon Chan — 2003
• Thermistor chain data assimilation to improve hydrodynamic modeling skill in stratified lakes and reservoirsPeter Yeates, Jörg Imberger, Chris J. Dallimore — 2008
• Groundwater modeling at the catchment scale: mathematical and numerical aspectsA. Dassargues — 2019
• X‐ray Emissions in a Multiscale Fluid Model of a Streamer DischargeNikolai G. Lehtinen, Nikolai Østgaard — 2018
• MT3DMS: A Modular Three-Dimensional Multispecies Transport Model for Simulation of Advection, Dispersion, and Chemical Reactions of Contaminants in Groundwater Systems; Documentation and User's GuideChunmiao Zheng, P P Wang — 1999
• Journal of Geophysical Research : Atmospheres X-ray Emissions in a Multiscale Fluid Model of a Streamer DischargeN. Lehtinen, N. Østgaard — 2018
• MT3DMS, A Modular Three-Dimensional Multispecies Transport ModelJ. Verkaik, A. Dam, A. Lourens — 2011
• ICOMP-93-05 Positivity-Preserving Numerical Schemes for Multidimensional AdvectionB. P. Leonard — 2011
• A Modular Three-Dimensional Multispecies Transport Model for Simulation of Advection, Dispersion, and Chemical Reactions of Contaminants in Groundwater SystemsC. Zheng, P. Wang — 1997

Related papers

• A stable and accurate convective modeling procedure based on quadratic upstream interpolationB. P. Leonard — 1979
• The ULTIMATE conservative difference scheme applied to unsteady one-dimensional advectionB. P. Leonard — 1991
• A stable and accurate convective modelling procedure based on quadratic upstream interpolationB. P. Leonard — 1990
• Sharp monotonic resolution of discontinuities without clipping of narrow extremaB. P. Leonard, H. S. Niknafs — 1991
• Verification of a Higher-Order Finite Difference Scheme for the One-Dimensional Two-Fluid ModelWilliam D. Fullmer, Martin A. Lopez de Bertodano, Xiaoying Zhang — 2013
• A Low-Dissipation Second-Order Upwind Flux Formulation for Simulation of Complex Turbulent FlowsNicole M. W. Poe, D. Keith Walters, Edward Luke — 2015
• High-Order Flux Correction for Viscous Flows on Arbitrary Unstructured GridsBrian B. Pincock, Aaron Katz — 2013
• A third-order gas-kinetic scheme for three-dimensional inviscid and viscous flow computations ☆Liang Pan, Kun Xu — 2015
• A transport-physics-accurate convection discretization based on first order upwind and the need for a new error assessment strategyLuiz Sampaio — 2012