Journal Article10.1016/0010-4655(76)90011-4
Numerical solution of continuity equations
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TL;DR: In this paper, the authors compare and contrast the six general methods available for solving the time dependent continuity equation numerically, and present the most developed and efficient of the positive (monotone) finite-difference approaches.
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About: This article is published in Computer Physics Communications. The article was published on 01 Sep 1976. The article focuses on the topics: Eulerian path & Finite difference.
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Citations
Numerical simulations of asymmetric mixing in planar shear flows
Fernando F. Grinstein,Elaine S. Oran,Jay P. Boris +2 more
- 23 Aug 1985
TL;DR: In this paper, the authors performed numerical simulations of the evolution of the Kelvin-Helmholtz instability in planar, free shear layers, resulting from coflow past a splitter plate.
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Numerical simulations of asymmetric mixing in planar shear flows
TL;DR: Simulation numerique de l'evolution of l'instabilite de Kelvin-Helmholtz dans des couches planes cisaillees resultant des ecoulements cocourants sur une plaque separatrice.
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Vectorized Computation of Reactive Flow
Jay P. Boris,Niels K. Winsor +1 more
- 01 Jan 1982
TL;DR: This chapter discusses a number of the decisions that a modeler must make to optimize his efforts on a reactive flow simulation project, and explains the choices that are available from the perspectives of program efficiency, flexibility, reliability, accuracy, and lead time to results.
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•Journal Article
Flux-corrected transport techniques for transient calculations of strongly shocked flows
TL;DR: Flux-corrected transport (FCT) as mentioned in this paper is a transport algorithm for generalized continuity equations that uses finite difference formulas to ensure positivity for an initially positive convected quantity and is particularly valuable for fluid-like problems with strong gradients or shocks.
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References
Difference Methods for Initial-Value Problems
Robert D. Richtmyer,K. W. Morton +1 more
Abstract: Keywords: equations : differentielles ; stabilite ; transport ; transfert de chaleur ; mecanique des : fluides ; ondes Reference Record created on 2005-11-18, modified on 2016-08-08
4.5K
Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme
TL;DR: Fromm's second-order scheme for integrating the linear convection equation is made monotonic through the inclusion of nonlinear feedback terms in this paper, where care is taken to keep the scheme in conservation form.
2.2K
Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works
Jay P. Boris,David L. Book +1 more
TL;DR: A class of explicit, Eulerian finite-difference algorithms for solving the continuity equation which are built around a technique called “flux correction,” which yield realistic, accurate results.
2.1K