Journal of Computational Physics
ICCS '02 Proceedings of the International Conference on Computational Science-Part II
Positive schemes for solving multi-dimensional hyperbolic systems of conservation laws II
Journal of Computational Physics
Weakly nonoscillatory schemes for scalar conservation laws
Mathematics of Computation
Hybrid flux-splitting schemes for a common two-fluid model
Journal of Computational Physics
Future Generation Computer Systems - Special issue: Selected numerical algorithms
Journal of Computational Physics
Central schemes on overlapping cells
Journal of Computational Physics
Staggered Finite Difference Schemes for Conservation Laws
Journal of Scientific Computing
Mathematics and Computers in Simulation - Special issue: Nonlinear waves: computation and theory IV
Fourth-order balanced source term treatment in central WENO schemes for shallow water equations
Journal of Computational Physics
Explicit solutions to a convection-reaction equation and defects of numerical schemes
Journal of Computational Physics
Three-phase immiscible displacement in heterogeneous petroleum reservoirs
Mathematics and Computers in Simulation - Special issue: Applied and computational mathematics - selected papers of the fifth PanAmerican workshop - June 21-25, 2004, Tegucigalpa, Honduras
Convex ENO Schemes for Hamilton-Jacobi Equations
Journal of Scientific Computing
A new fourth-order non-oscillatory central scheme for hyperbolic conservation laws
Applied Numerical Mathematics
Journal of Computational Physics
Multi-dimensional limiting process for three-dimensional flow physics analyses
Journal of Computational Physics
On the numerical solution of a driven thin film equation
Journal of Computational Physics
A central conservative scheme for general rectangular grids
Journal of Computational Physics
Compact Accurately Boundary-Adjusting high-REsolution Technique for fluid dynamics
Journal of Computational Physics
Mathematics and Computers in Simulation
Applied Numerical Mathematics
Applied Numerical Mathematics
Applied Numerical Mathematics
Alternating Evolution Schemes for Hyperbolic Conservation Laws
SIAM Journal on Scientific Computing
Computers & Mathematics with Applications
Journal of Scientific Computing
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We present a general procedure to convert schemes which are based on staggered spatial grids into nonstaggered schemes. This procedure is then used to construct a new family of nonstaggered, central schemes for hyperbolic conservation laws by converting the family of staggered central schemes recently introduced in [H. Nessyahu and E. Tadmor, J. Comput. Phys., 87 (1990), pp. 408--463; X. D. Liu and E. Tadmor, Numer. Math., 79 (1998), pp. 397--425; G. S. Jiang and E. Tadmor, SIAM J. Sci. Comput., 19 (1998), pp. 1892--1917]. These new nonstaggered central schemes retain the desirable properties of simplicity and high resolution, and in particular, they yield Riemann-solver-free recipes which avoid dimensional splitting. Most important, the new central schemes avoid staggered grids and hence are simpler to implement in frameworks which involve complex geometries and boundary conditions.