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A central scheme for advecting scalars by velocity fields obtained from Finite Volume multiphase incompressible solvers
(Elsevier Science Inc, 2016-08)
This paper presents an extension of the central scheme of Kurganov and Tadmor (2000) to work with solvers based on conservative face fluxes, which are usual in the solution of incompressible flows by the Finite Volume ...
A strategy to implement Dirichlet boundary conditions in the context of ADER finite volume schemes. One-dimensional conservation laws
(Pergamon-Elsevier, 2016)
ADER schemes are numerical methods, which can reach an arbitrary order of accuracy in both space and time. They are based on a reconstruction procedure and the solution of generalized Riemann problems. However, for general ...
A finite volume method for the mean of the solution of the random transport equation
(Elsevier Science IncNew YorkEUA, 2007)
A fourth-order compact finite volume scheme for fully nonlinear and weakly dispersive Boussinesq-type equations. Part II: Boundary conditions and validation
(WILEY, 2007)
This paper supplements the validation of the fourth-order compact finite volume Boussinesq-type model presented by Cienfuegos et al. (Int. J. Numer. Meth. Fluids 2006, in press). We discuss several issues related to the ...
A survey on finite volume schemes using triangular meshes
(Universidade Federal de Lavras (UFLA), 2010)
Fully well-balanced, positive and simple approximate Riemann solver for shallow water equations
(Springer, 2016)
The present work is focused on the numerical approximation of the shallow
water equations. When studying this problem, one faces at least two important issues,
namely the ability of the scheme to preserve the positiveness ...
A numerical scheme for the variance of the solution of the random transport equation
(Elsevier Science IncNew YorkEUA, 2007)