Shock capturing staggered grid scheme for simulating dam-break flow and runup

Staggered Grid Rd Scheme for Lagrangian Hydrodynamics

Abstract. This paper is focused on the Residual Distribution (RD) interpretation of the Do4 brev et al. scheme [Dobrev et al., SISC, 2012] for the numerical solution of the Euler equations 5 in Lagrangian form. The first ingredient of the original scheme is the staggered grid formulation 6 which uses continuous node-based finite element approximations for the kinematic variables and cell7 cente...

Modified Weighted Compact Scheme for Shock Capturing

It is critical for a numerical scheme to obtain numerical results as accurate as possible with limited computational resources. Turbulent processes are very sensitive to numerical dissipation, which may dissipate the small length scales. On the other hand, dealing with shock waves, capturing and reproducing of the discontinuity may lead to non-physical oscillations for non-dissipative schemes. ...

Staggered Grid Residual Distribution Scheme for Lagrangian Hydrodynamics

This work is focused on the Residual Distribution (RD) interpretation of the Dobrev et al. scheme [2] for the numerical solution of the Euler equations in Lagrangian form. The first ingredient of the original scheme is the staggered grid formulation which uses continuous node-based finite element approximations for the kinematic variables and cell-centered discontinuous finite elements for the ...

Compressible Subsonic Flow on a Staggered Grid

This work focuses on numerically modelling the dynamics of a single phase fluid at varying densities and pressures. We explore the potential of incompressible flow simulation methods in modelling compressible flow, with an eye towards computer animation applications. The methods developed capture the interesting thermodynamic effects of compressible flow, and reduce to the standard Marker and C...

High-order TVD shock-capturing schemes for unstructured grid solvers