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
Distributed Database Kriging for Adaptive Sampling (D2KAS)
Dominic Roehm,Dominic Roehm,Robert Pavel,Robert Pavel,Kipton Barros,Bertrand Rouet-Leduc,Bertrand Rouet-Leduc,Allen McPherson,Timothy C. Germann,Christoph Junghans +9 more
TL;DR: This work presents an adaptive sampling method supplemented by a distributed database and a prediction method for multiscale simulations using the Heterogeneous Multiscale Method, which significantly improves simulation performance by a factor of 2.5–25, while retaining high accuracy for various choices of the algorithm parameters.
Journal ArticleDOI
Flux-difference splitting schemes for 2D flood flows
TL;DR: In this article, two numerical models for 2D flood flows are presented, one is first-order accurate and another is secondorder accurate, using Lax-Wendroff numerical flux.
Journal ArticleDOI
Design and analysis of ADER-type schemes for model advection–diffusion–reaction equations
TL;DR: The constructed schemes are meant to be of practical use in solving industrial problems and are derived following two related approaches, namely ADER and MUSCL-Hancock.
Book ChapterDOI
A coalescence and breakup module for implementation in CFD-codes
TL;DR: In this article, a population-like model is developed with emphasis on the source and sink term formulations describing the birth and death rates, and the model is formulated in order to facilitate the direct future inclusion into a more sophisticated flow calculation, a full multi-fluid CFD model.
Journal ArticleDOI
Spatial adaptive sampling in multiscale simulation
Bertrand Rouet-Leduc,Bertrand Rouet-Leduc,Kipton Barros,Emmanuel B. Cieren,Venmugil Elango,Venmugil Elango,Christoph Junghans,Turab Lookman,Jamaludin Mohd-Yusof,Robert Pavel,Robert Pavel,Axel Y. Rivera,Axel Y. Rivera,Dominic Roehm,Dominic Roehm,Allen McPherson,Timothy C. Germann +16 more
TL;DR: This work interpolates the results of fine-scale simulation over the spatial domain of the macro-solver to achieve spatial adaptive sampling, which is local in space and time, avoids the need for a central database, and is designed to parallelize well on large computer clusters.
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.