Kenneth G. Powell, ∗ Philip L. Roe, ∗ Timur J. Linde, ∗ Tamas I. Gombosi, † and Darren L. De Zeeuw † ∗W. M. Keck Foundation CFD Laboratory, Department of Aerospace Engineering, University of… (More)

1. Entropy consistency Systems of conservation laws that originate in physics frequently possess an additional conservation law for an auxiliary quantity called entropy, which is conserved in smooth… (More)

We develop a new class of schemes for the numerical solution of first-order steady conservation laws. The schemes are of the residual distribution, or fluctuation-splitting type. These schemes have… (More)

order accurate discontinuous discontinuous nite element solution of the 2D Euler equations, A massively parallel adaptive nite element method with dynamic load balancing, SAND 93-0936C (1993). 21. K.… (More)

In numerical solutions of fluid flow, vorticity can be generated by truncation errors. We analyze this phenomenon for linearized equations and give conditions for preventing it. The Lax– Wendroff… (More)

This paper reports progress towards high-order fluctuation-splitting schemes for the Navier-Stokes Equations. High-order schemes we examined previously are all based on gradient reconstruction, which… (More)

Operational problems and system damage have been linked to the flow regime transition between free surface and pressurized flow in rapidly filling stormwater and combined sewer systems. In response,… (More)

This work presents a mesh refinement indicator based on entropy variables, with an application to the compressible Navier-Stokes equations. The entropy variables are shown to satisfy an adjoint… (More)