Journal ArticleDOI
New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection—Diffusion Equations
Alexander Kurganov,Eitan Tadmor +1 more
TLDR
It is proved that a scalar version of the high-resolution central scheme is nonoscillatory in the sense of satisfying the total-variation diminishing property in the one-dimensional case and the maximum principle in two-space dimensions.About:
This article is published in Journal of Computational Physics.The article was published on 2000-05-01. It has received 1685 citations till now. The article focuses on the topics: Maximum principle & Convection–diffusion equation.read more
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Book
Finite Volume Methods for Hyperbolic Problems
TL;DR: The CLAWPACK software as discussed by the authors is a popular tool for solving high-resolution hyperbolic problems with conservation laws and conservation laws of nonlinear scalar scalar conservation laws.
Journal ArticleDOI
Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations
TL;DR: New Godunov-type semidiscrete central schemes for hyperbolic systems of conservation laws and Hamilton--Jacobi equations are introduced, based on the use of more precise information about the local speeds of propagation, and are called central-upwind schemes.
Journal ArticleDOI
Gasoline: a flexible, parallel implementation of TreeSPH
TL;DR: The Gasoline as discussed by the authors is an extension of the Pkdgrav parallel N-body code using smoothed particle hydrodynamics, which is used to simulate galaxy clusters, galaxy formation and gas-giant planets.
Journal ArticleDOI
Mass ejection from the merger of binary neutron stars
Kenta Hotokezaka,Kenta Kiuchi,Koutarou Kyutoku,Hirotada Okawa,Yuichiro Sekiguchi,Masaru Shibata,Keisuke Taniguchi +6 more
TL;DR: In this paper, numerical simulations for the merger of binary neutron stars are performed for a variety of equations of state (EOSs) and for a plausible range of the neutron star mass, focusing primarily on the properties of the material ejected from the system.
Journal ArticleDOI
Coalescence of Black Hole-Neutron Star Binaries
Masaru Shibata,Keisuke Taniguchi +1 more
TL;DR: The current status of general relativistic studies for the coalescence of black hole-neutron star (BH-NS) binaries is reviewed and understanding for the merger and/or tidal disruption processes, the criterion for tidal disruption, and the properties of the remnant formed after the tidal disruption are summarized.
References
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Journal ArticleDOI
Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes
TL;DR: In this article, it is shown that these features can be obtained by constructing a matrix with a certain property U, i.e., property U is a property of the solution of the Riemann problem.
Journal ArticleDOI
Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method
TL;DR: In this article, a second-order extension of the Lagrangean method is proposed to integrate the equations of ideal compressible flow, which is based on the integral conservation laws and is dissipative, so that it can be used across shocks.
Journal ArticleDOI
Efficient implementation of essentially non-oscillatory shock-capturing schemes,II
Chi-Wang Shu,Stanley Osher +1 more
TL;DR: Two methods of sharpening contact discontinuities-the subcell resolution idea of Harten and the artificial compression idea of Yang, which those authors originally used in the cell average framework-are applied to the current ENO schemes using numerical fluxes and TVD Runge-Kutta time discretizations.
Journal ArticleDOI
Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
ShuChi-Wang,OsherStanley +1 more
TL;DR: This work extends earlier work on the efficient implementation of ENO (essentially non-oscillatory) shock-capturing schemes by providing a new simplified expression for the ENO constructio...
Journal ArticleDOI
On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
TL;DR: This paper reviews some of the recent developments in upstream difference schemes through a unified representation, in order to enable comparison between the various schemes.
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Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method
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Chi-Wang Shu,Stanley Osher +1 more