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
Solute Transport in Open-Channel Networks in Unsteady Flow Regime
Yi Zhang,Mustafa M. Aral +1 more
TL;DR: The proposed algorithm is robust and accurate even for advection dominant cases, and when coupled with a transient hydrodynamic open-channel network model for flow simulation, the proposed model can be utilized in the solution of solute transport problems under unsteady flow regimes.
Journal ArticleDOI
Hydrodynamic modeling and characterizing of Lagrangian flows in the West Scott Creek wetlands system, South Carolina
TL;DR: In this paper, a numerical modeling study was carried out to study the mixing and transport processes in the tide dominated West Scott Creek Estuary, South Carolina, where a coupled, depth-integrated hydrodynamic and particle transport model was developed.
Journal ArticleDOI
Shear Layer Dynamics in a Supersonic Rectangular Multistream Nozzle with an Aft-Deck
Cory M. Stack,Datta V. Gaitonde +1 more
TL;DR: In this article, large-eddy simulations are employed to analyze the flowfield generated by a multistream propulsion system, comprised of a core Mach 16 single-sided expansion ramp stream separated by a splitter.
Journal ArticleDOI
Numerical simulation of shock-box interaction using an adaptive finite element scheme
Joseph D. Baum,Rainald Löhner +1 more
TL;DR: In this article, a transient, two-dimensional, finite element shock-capturing scheme on unstructured grids was applied to the study od a shock interacting with a box suspended above a rigid elevated surface.
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.