High-resolution schemes for hyperbolic conservation laws

Harten, A

Title: High-resolution schemes for hyperbolic conservation laws

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Abstract

This paper presents a class of new explicit second order accurate finite difference schemes for the computation of weak solutions of hyperbolic conservation laws. These highly nonlinear schemes are obtained by applying a nonoscillatory first order accurate scheme to an appropriately modified flux function. The so derived second order accurate schemes achieve high resolution while preserving the robustness of the original nonoscillatory first order accurate scheme. Numerical experiments are presented to demonstrate the performance of these new schemes.

Authors:: Harten, A

Publication Date:: Mon Mar 01 00:00:00 EST 1982

Research Org.:: New York Univ., NY (USA). Courant Mathematics and Computing Lab.

OSTI Identifier:: 5286810

Report Number(s):: DOE/ER/03077-175
ON: DE82015473

DOE Contract Number:: AC02-76ER03077

Resource Type:: Technical Report

Resource Relation:: Other Information: Portions of document are illegible

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; CONSERVATION LAWS; FINITE DIFFERENCE METHOD; NUMERICAL SOLUTION; DUCTS; EQUATIONS; FLUID FLOW; FLUID MECHANICS; NOZZLES; SHOCK WAVES; THEORETICAL DATA; DATA; INFORMATION; ITERATIVE METHODS; MECHANICS; NUMERICAL DATA; 640410* - Fluid Physics- General Fluid Dynamics

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                    Harten, A. High-resolution schemes for hyperbolic conservation laws.  United States: N. p., 1982. 
        Web.

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                    Harten, A. High-resolution schemes for hyperbolic conservation laws.  United States.

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                    Harten, A. 1982.  
        "High-resolution schemes for hyperbolic conservation laws".  United States.

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@article{osti_5286810,

  title        = {High-resolution schemes for hyperbolic conservation laws},

  author       = {Harten, A},

  abstractNote = {This paper presents a class of new explicit second order accurate finite difference schemes for the computation of weak solutions of hyperbolic conservation laws. These highly nonlinear schemes are obtained by applying a nonoscillatory first order accurate scheme to an appropriately modified flux function. The so derived second order accurate schemes achieve high resolution while preserving the robustness of the original nonoscillatory first order accurate scheme. Numerical experiments are presented to demonstrate the performance of these new schemes.},

  doi          = {},

  url          = {https://www.osti.gov/biblio/5286810},
  journal      = {},
number       = ,

  volume       = ,

  place        = {United States},

  year         = {Mon Mar 01 00:00:00 EST 1982},

  month        = {Mon Mar 01 00:00:00 EST 1982}

}

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High resolution schemes for hyperbolic conservation laws

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A class of new explicit second order accurate finite difference schemes for the computation of weak solutions of hyperbolic conservation laws is presented. These highly nonlinear schemes are obtained by applying a nonoscillatory first order accurate scheme to an appropriately modified flux function. The so-derived second order accurate schemes achieve high resolution while preserving the robustness of the original nonoscillatory first order accurate scheme. Numerical experiments are presented to demonstrate the performance of these new schemes. 19 refs., 9 figs.
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