Compact high-resolution algorithms for time-dependent advection on unstructured grids Export

@article{citeulike:1921586, abstract = {A technique for constructing monotone, high resolution, multi-dimensional upwind fluctuation distribution schemes for the scalar advection equation is presented. The method combines the second-order Lax-Wendroff scheme with the upwind positive streamwise invariant (PSI) scheme via a fluctuation redistribution step, which ensures monotonicity (and which is a generalization of the flux-corrected transport approach for fluctuation distribution schemes). Furthermore, the concept of a distribution point is introduced, which, when related to the equivalent equation for the scheme, leads to a ?preferred direction? for the limiting procedure, and hence to a new distribution of the fluctuation, which retains second-order accuracy from the Lax-Wendroff scheme, even when the solution contains turning points. Experimental comparisons show that the new method compares favourably in terms of speed, accuracy and robustness with other, similar, techniques. Copyright {\copyright} 2000 John Wiley \& Sons, Ltd.}, address = {The University of Reading, Department of Mathematics, Whiteknights, Reading, U.K.; Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI, U.S.A.; Centre pour Mathematiques et leurs Applications, Ecole Normale Superieure de Cachan, 61 Avenue du President Wilson, Cachan Cedex, France}, author = {Hubbard, M. E. and Roe, P. L.}, citeulike-article-id = {1921586}, citeulike-linkout-0 = {http://dx.doi.org/10.1002/1097-0363(20000715)33:5%3C711::AID-FLD27%3E3.0.CO;2-O}, citeulike-linkout-1 = {http://www3.interscience.wiley.com/cgi-bin/abstract/72509693/ABSTRACT}, doi = {10.1002/1097-0363(20000715)33:5%3C711::AID-FLD27%3E3.0.CO;2-O}, journal = {International Journal for Numerical Methods in Fluids}, keywords = {numerical-methods}, number = {5}, pages = {711--736}, posted-at = {2007-11-15 10:32:07}, priority = {2}, title = {Compact high-resolution algorithms for time-dependent advection on unstructured grids}, url = {http://dx.doi.org/10.1002/1097-0363(20000715)33:5%3C711::AID-FLD27%3E3.0.CO;2-O}, volume = {33}, year = {2000} }

TY - JOUR ID - citeulike:1921586 L3 - citeulike-article-id:1921586 N2 - A technique for constructing monotone, high resolution, multi-dimensional upwind fluctuation distribution schemes for the scalar advection equation is presented. The method combines the second-order Lax-Wendroff scheme with the upwind positive streamwise invariant (PSI) scheme via a fluctuation redistribution step, which ensures monotonicity (and which is a generalization of the flux-corrected transport approach for fluctuation distribution schemes). Furthermore, the concept of a distribution point is introduced, which, when related to the equivalent equation for the scheme, leads to a ?preferred direction? for the limiting procedure, and hence to a new distribution of the fluctuation, which retains second-order accuracy from the Lax-Wendroff scheme, even when the solution contains turning points. Experimental comparisons show that the new method compares favourably in terms of speed, accuracy and robustness with other, similar, techniques. Copyright © 2000 John Wiley & Sons, Ltd. IS - 5 JF - International Journal for Numerical Methods in Fluids AD - The University of Reading, Department of Mathematics, Whiteknights, Reading, U.K.; Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI, U.S.A.; Centre pour Mathematiques et leurs Applications, Ecole Normale Superieure de Cachan, 61 Avenue du President Wilson, Cachan Cedex, France EP - 736 TI - Compact high-resolution algorithms for time-dependent advection on unstructured grids VL - 33 SP - 711 KW - numerical-methods AU - Hubbard, ME AU - Roe, PL PY - 2000/// UR - http://dx.doi.org/10.1002/1097-0363(20000715)33:5%3C711::AID-FLD27%3E3.0.CO;2-O ER -