WENO reconstructionIn the past few decades, the weighted essentially non-oscillatory (WENO) scheme has been widely used in mesh-based methods and has achieved great success, but its application to the smoothed particle hydrodynamics (SPH) is still limited. In this paper, a simple and accurate ...
In this paper, high-order Runge-Kutta discontinuous Galerkin (RKDG) methods with multi-resolution weighted essentially non-oscillatory (WENO) limiters are designed for solving hyperbolic conservation laws on triangular meshes. These multi-resolution WENO limiters are new extensions of the associated multi...
First, a new fourth-order central WENO scheme, named as WENO4-LC, is devised for shock capturing, and a low dissipative third-order grid-centered upwind scheme is adopted for the smooth region. Second, a discontinuity indicator is extended to the four-point stencil version, which is simpler...
upwind schemeIn this paper, a sixth-order finite difference weighted essentially non-oscillatory (WENO) scheme is developed to approximate the viscosity solution of the Hamilton-Jacobi equations. This new WENO scheme has the same spatial nodes as the classical fifth-order WENO scheme proposed by ...
The effect of grid non-uniformity is taken into consideration by a proper interpolation of the interfacial values. On non-uniform grids, the proposed scheme is much more accurate than the original WENO-JS scheme, which was designed for uniform grids. When the grid is uniform, the resulting ...
Richtel, “Cellphone consumerism; If even a debit card is too slow, now you have a new way to act on impulse: [National Edition],” National Post, Canada, Oct. 2, 2007. Rivadeneyra et al., “A communication architecture to access data services through GSM,” San Sebastian, Spain, 19...
Richtel, “Cellphone consumerism; If even a debit card is too slow, now you have a new way to act on impulse: [National Edition],” National Post, Canada, Oct. 2, 2007. Rivadeneyra et al., “A communication architecture to access data services through GSM,” San Sebastian, Spain, 19...
type in addition to 4 ensuring an adequate domain of dependence for the difference equations. He went further to perform a linear stability analysis of the new scheme. The check of the new scheme ...
Such an integral contravariant form of the equations of motion is numerically integrated by a new conservative numerical scheme that is based on three elements of originality: the time evolution of the state of the system is carried out using a predictor–corrector method in which exclusively the ...
This study develops a new well-balanced scheme for the one-dimensional shallow water system over irregular bed topographies with wet/dry fronts, in a Godunov-type finite volume framework. A new reconstruction technique that includes flooded cells and partially flooded cells and preserves the non-nega...