Uniformly high order accurate essentially non-oscillatory schemes, 111

Keywords

Gibbs phenomenon, Piecewise, Mathematics, Classification of discontinuities, Interpolation (computer graphics)

References

• Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock WavesPeter D. Lax — 1987
• Riemann Solvers, the Entropy Condition, and DifferenceStanley Osher — 1984
• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation LawsP. K. Sweby — 1984
• Difference schemes for hyperbolic equations with high order of accuracyPeter D. Lax, Burton Wendroff — 1964
• Self adjusting grid methods for one-dimensional hyperbolic conservation laws☆Ami Harten, James M. Hyman — 1983
• The numerical simulation of two-dimensional fluid flow with strong shocksPaul R. Woodward, Phillip Colella — 1984
• Essentially non-oscillatory shock-capturing schemes of arbitrarily-high accuracyS. R. Chakravarthy, A. Harten, Stanley Osher — 1986
• Some results on uniformly high-order accurate essentially nonoscillatory schemesAmi Harten, Stanley Osher, Björn Engquist — 1986
• On the symmetric form of systems of conservation laws with entropyAmiram Harten — 1983
• A scheme of the singularity-separating method for the nonconvex problemXionghua Wu, You-lan Zhu — 1985
• Systems of conservation lawsPeter D. Lax, Burton Wendroff — 1960
• Weak solutions of nonlinear hyperbolic equations and their numerical computationPeter D. Lax — 1954
• On the Construction and Comparison of Difference SchemesGilbert Strang — 1968
• The Piecewise Parabolic Method (PPM) for Gas Dynamical SimulationsPhillip Colella, Paul R. Woodward — 1984
• A convergent series expansion for hyperbolic systems of conservation lawsEduard Harabetian — 1986
• Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's methodBram van Leer — 1979
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation lawsGary A. Sod — 1978
• The artificial compression method for computation of shocks and contact discontinuities. III. Self-adjusting hybrid schemesAmiram Harten — 1977
• Random choice solution of hyperbolic systemsAlexandre J. Chorin — 1976
• Finite difference method for numerical computation of discontinuous solutions of the equations of fluid dynamicsС. К. Годунов — 1959

Cited by

• Computation of bubbly cavitating flow in shock wave lithotripsyMichel Tanguay — 2004
• PDE-Based Gradient Limiting for Mesh Size FunctionsPer‐Olof Persson — 2004
• Numerical Investigation of Gas-Particle Supersonic FlowMihir A Samel — 2011
• Review on the commercial CFD softwaresYao Zheng — 2002
• 2-D Numerical Modeling of Bioremediation in Heterogeneous Saturated SoilsCláudio Rosa Gallo, Gianmarco Manzini — 1998
• Constructing high-order Runge-Kutta methods with embedded strong-stability-preserving pairsColin B. Macdonald — 2003
• Parametric Study of Decay of Homogeneous Isotropic Turbulence Using Large Eddy SimulationR. C. Swanson, Christopher L. Rumsey, Robert Rubinstein — 2012
• Recent Developments in Shock-Capturing SchemesAmi Harten — 1991
• A High Order Method for Determining the Edges in the Gradient of a FunctionR. P. Saxena, Anne Gelb, Hans D. Mittelmann — 2009
• High-resolution alternating evolution schemes for hyperbolic conservation laws and Hamilton -Jacobi equationsHaseena Ahmed — 2008
• A Third-Order Semidiscrete Central Scheme for Conservation Laws and Convection-Diffusion EquationsAlexander Kurganov, Doron Levy — 2000
• Application of high order well-balanced schemes to a class of hyperbolic systems with source termsYulong Xing, Chi‐Wang Shu — 2006
• Efficient High-Order Accurate Methods using Unstructured Grids for Hydrodynamics and AcousticsMavriplis, Dimitri J., Dan Stánescu — 2007
• A CFD Method for Optimal Air-Intake DesignMichele Ferlauto, Roberto Marsilio — 2007
• A local extrapolation method for hyperbolic conservation laws: The Eno and Goodman-Leveque underlying schemes and sufficient conditions for TVD propertyDonald Omedo Adongo — 2008
• Modèle de reconstruction d'une surface échantillonnée par une méthode de ligne de niveau, et applicationsAlexandra Claisse — 2009
• Hybrid LES of Detonations in Reacting Multi-Phase MixturesS. Menon, F. Genin — 2009
• High-order central finite-volume schemes for atmospheric modelingKiran K. Katta — 2012
• Large Eddy Simulation of Turbulent Swirling Flows and Turbulent Premixed CombustionPing Wang — 2005
• Maximum principle preserving high order schemes for convection-dominated diffusion equationsYi Jiang — 2013

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