...Roshith Mittakolu; Sarma L. Rani; Dilip Srinivas Sundaram Purpose A higher-order implicit shock-capturing scheme is presented for the Euler equations based on time linearization of the implicit flux vector rather than the residual vector. Design/methodology/approach The flux vector...

.... Therefore, this paper aims to investigate how to solve the Euler equations in parallel systems and improve the parallel performance. Design/methodology/approach Discontinuous Galerkin discretization is used for the compressible inviscid Euler equations. The multi-level domain decomposition strategy...

... – Unsteady Euler equations are discretized on meshes of linear and quadratic triangular and quadrilateral elements using LSFEM. Backward Euler scheme is used for time discretization. For the refinement of linear triangular elements, a modified version of the simple bisection algorithm is used. Mesh...

... subsonicflow.Numerical results are presented to show the performance of the proposed scheme for inviscid and viscous flows. KEY WORDS Upwind finite volume scheme Euler equations Unstructured grids Compressible flow Navier-Stokes equations INTRODUCTION Over the past decade, there has been extensive work...

... such as pipe dimensions and valve geometry need to be understood. A system of ordinary differential equations (in time t) with discontinuous right‐hand side describes the gas properties in the cylinder, whereas the gas flow in each pipe is modelled by the Euler equations, a system of hyperbolic partial...