Journal ArticleDOI
High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
TLDR
The technique of obtaining high resolution, second order, oscillation free (TVD), explicit scalar difference schemes, by the addition of a limited antidiffusive flux to a first order scheme is described in this article.Abstract:
The technique of obtaining high resolution, second order, oscillation free (TVD), explicit scalar difference schemes, by the addition of a limited antidiffusive flux to a first order scheme is expl...read more
Citations
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Journal ArticleDOI
Development of BFMCOUPLER (v1.0), the coupling scheme that links the MITgcm and BFM models for ocean biogeochemistry simulations
Gianpiero Cossarini,Stefano Querin,Cosimo Solidoro,Gianmaria Sannino,Paolo Lazzari,Valeria Di Biagio,Giorgio Bolzon +6 more
TL;DR: In this paper, a coupling scheme between the Massachusetts Institute of Technology general circulation model (MITgcm) and the Biogeochemical Flux Model (BFM) is presented.
Journal ArticleDOI
Simple modifications of monotonicity-preserving limiters
William J. Rider,Len G. Margolin +1 more
TL;DR: In this article, simple modifications of standard monotonicity-preserving limiters that provide either sign preservation or alternative bounding values for the resulting numerical schemes (e.g., that the solution remain between zero and one rather than preserving monotonality) are presented.
Journal ArticleDOI
Discrete unified gas kinetic scheme for multiscale heat transfer with arbitrary temperature difference
Chuang Zhang,Zhaoli Guo +1 more
TL;DR: In this article, a finite-volume discrete unified gas kinetic scheme (DUGKS) based on the non-gray phonon transport model is developed for multiscale heat transfer problem with arbitrary temperature difference.
Journal ArticleDOI
A numerical study of the circulation in Saltfjorden, Saltstraumen and Skjerstadfjorden
TL;DR: In this article, a three dimensional σ-coordinate model has been implemented for simulating the circulation in Saltfjorden, Saltstraumen and Skjerstadføorden.
Journal ArticleDOI
Interface tracking method for compressible multifluids
TL;DR: In this article, the Riemann problem is used to avoid using mixed-cell information between its single-fluid neighboring cells and the resulting algorithm is oscillation-free for isolated material interfaces, conservative and tends to produce almost perfect jumps across material fronts.
References
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Journal ArticleDOI
Fully multidimensional flux-corrected transport algorithms for fluids
TL;DR: In this paper, the critical flux limiting stage is implemented in multidimensions without resort to time splitting, which allows the use of flux-corrected transport (FCT) techniques in multi-dimensional fluid problems for which time splitting would produce unacceptable numerical results.
Journal ArticleDOI
A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
Gary A. Sod,Gary A. Sod +1 more
TL;DR: In this paper, the finite difference methods of Godunov, Hyman, Lax and Wendroff (two-step), MacCormack, Rusanov, the upwind scheme, the hybrid scheme of Harten and Zwas, the antidiffusion method of Boris and Book, and Glimm's method, a random choice method, are discussed.
Journal ArticleDOI
Systems of conservation laws
Peter D. Lax,Burton Wendroff +1 more
TL;DR: In this article, a wide class of difference equations is described for approximating discontinuous time dependent solutions, with prescribed initial data, of hyperbolic systems of nonlinear conservation laws, and the best ones are determined, i.e., those which have the smallest truncation error and in which the discontinuities are confined to a narrow band of 2-3 meshpoints.
Journal ArticleDOI
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.
Journal ArticleDOI
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.