Staggered Finite Difference Schemes for Conservation Laws
نویسندگان
چکیده
منابع مشابه
Staggered Finite Difference Schemes for Conservation Laws
In this work, we introduce new finite-difference shock-capturing central schemes on staggered grids. Staggered schemes may have better resolution of the corresponding unstaggered schemes of the same order. They are based on high order non oscillatory reconstruction (ENO or WENO), and a suitable ODE solver for the computation of the integral of the flux. Although they suffer from a more severe s...
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In this paper a new family of high-order finite-difference shock-capturing central schemes for hyperbolic systems with stiff source is presented. The schemes are based on recently developed finite difference discretization on staggered grids, coupled with implicit-explicit (IMEX) time discretization for an efficient treatment of the source term. Numerical tests show the robustness and accuracy ...
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Explicit and semi{implicit nite diierence schemes approximating nonhomogenous scalar conservation laws are analyzed. Optimal error bounds independent of the stiiness of the underlying equation are presented.
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A finite compact (FC) difference scheme requiring only bi-diagonal matrix inversion is proposed by using the known high-resolution flux. Introducing TVD or ENO limiters in the numerical flux, several high-resolution FC-schemes of hyperbolic conservation law are developed, including the FC-TVD, third-order FC-ENO and fifth-order FC-ENO schemes. Boundary conditions formulated need only one unknow...
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In this paper, the reorganization of the denominator of the discrete derivative and nonlocal approximation of nonlinear terms are used in the design of nonstandard finite difference schemes (NSFDs). Numerical examples confirming then efficiency of schemes, for some differential equations are provided. In order to illustrate the accuracy of the new NSFDs, the numerical results are compared with ...
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ژورنال
عنوان ژورنال: Journal of Scientific Computing
سال: 2006
ISSN: 0885-7474,1573-7691
DOI: 10.1007/s10915-005-9036-x