Abstract. The purpose of this paper is to carry out a modification of the finite volume WENO (weighted essentially non-oscillatory) scheme of Titarev and Toro [10]. This modification is done by using the third order TVD flux [10] as building blocks in spatially fifth order WENO schemes, instead of the second order TVD flux proposed by Titarev and Toro. The resulting scheme improves both the original and Toros flux in terms of order of accuracy, convergence and better resolution of discontinuities. The numerical solution is advanced in time by TVD Runge-Kutta method. Extension to systems is carried out by the component-wise application of the scalar framework. Numerical experiments confirm the high resolution of the proposed scheme. Thus, a ...
We present the first fourth-order central scheme for two-dimensional hyperbolic systems of conservat...
We present the first fourth-order central scheme for two-dimensional hyperbolic systems of conservat...
We present the first fourth-order central scheme for two-dimensional hyperbolic systems of conservat...
The ultimate goal of this article is to develop a robust and accurate numerical method for solving h...
We present a family of high-order, essentially non-oscillatory, central schemes for approx- imating ...
We present a family of high-order, essentially non-oscillatory, central schemes for approx- imating ...
We present a family of high-order, essentially non-oscillatory, central schemes for approx- imating ...
We present a family of high-order, essentially non-oscillatory, central schemes for approx- imating ...
We present a family of high-order, essentially non-oscillatory, central schemes for approx- imating ...
We present a family of high-order, essentially non-oscillatory, central schemes for approximating ...
We present a family of high-order, essentially non-oscillatory, central schemes for approximating ...
We present a family of high-order, essentially non-oscillatory, central schemes for approximating ...
In this paper, we review and construct fifth- and ninth-order central weighted essentially nonoscill...
In this paper, we first construct fourth and eighth order central WENO (weighted essen-tially non-os...
We present the first fourth-order central scheme for two-dimensional hyperbolic systems of conservat...
We present the first fourth-order central scheme for two-dimensional hyperbolic systems of conservat...
We present the first fourth-order central scheme for two-dimensional hyperbolic systems of conservat...
We present the first fourth-order central scheme for two-dimensional hyperbolic systems of conservat...
The ultimate goal of this article is to develop a robust and accurate numerical method for solving h...
We present a family of high-order, essentially non-oscillatory, central schemes for approx- imating ...
We present a family of high-order, essentially non-oscillatory, central schemes for approx- imating ...
We present a family of high-order, essentially non-oscillatory, central schemes for approx- imating ...
We present a family of high-order, essentially non-oscillatory, central schemes for approx- imating ...
We present a family of high-order, essentially non-oscillatory, central schemes for approx- imating ...
We present a family of high-order, essentially non-oscillatory, central schemes for approximating ...
We present a family of high-order, essentially non-oscillatory, central schemes for approximating ...
We present a family of high-order, essentially non-oscillatory, central schemes for approximating ...
In this paper, we review and construct fifth- and ninth-order central weighted essentially nonoscill...
In this paper, we first construct fourth and eighth order central WENO (weighted essen-tially non-os...
We present the first fourth-order central scheme for two-dimensional hyperbolic systems of conservat...
We present the first fourth-order central scheme for two-dimensional hyperbolic systems of conservat...
We present the first fourth-order central scheme for two-dimensional hyperbolic systems of conservat...
We present the first fourth-order central scheme for two-dimensional hyperbolic systems of conservat...