19 citations · 25 across the 4 of their papers we have counts for
4 papers · 1 filter
A New Regularization of the One-Dimensional Euler and Homentropic Euler Equations
Gregory Norgard, Kamran Mohseni
This paper examines an averaging technique in which the nonlinear flux term is expanded and the convective velocities are passed through a low-pass filter. It is the intent that th…
An Examination of Homentropic Euler Equations with Averaged Characteristics
Gregory Norgard, Kamran Mohseni
This paper examines the properties of the homentropic Euler equations when the characteristics of the equations have been spatially averaged. The new equations are referred to as t…
A Regularization of Burgers Equation using a Filtered Convective Velocity
Greg Norgard, Kamran Mohseni
This paper examines the properties of a regularization of Burgers equation in one and multiple dimensions using a filtered convective velocity, which we have dubbed as convectively…
On the Convergence of the Convectively Filtered Burgers Equation to the Entropy Solution of the Inviscid Burgers Equation
Greg Norgard, Kamran Mohseni
This document provides a proof that the solutions to the convectively filtered Burgers equation, will converge to the entropy solution of the inviscid Burgers equation when certain…