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Applied Math Seminar

Date:
-
Location:
Online
Speaker(s) / Presenter(s):
Chase Ashby

Title: First-order Upwind Scheme for Solving the Adjoint Euler Equations

Abstract: A first-order upwind scheme based on matrix splitting is developed for solving the 2D adjoint Euler equations. We prove that the adjoint advection equation is a suitable model for the 1D adjoint Euler equations and use this knowledge to develop and study our proposed numerical scheme. Solution behavior is first discussed from a mathematical perspective and later demonstrated numerically for both the model equations and adjoint Euler equations.