Open AccessMesh-diverging inviscid adjoint solutions
Author(s) -
Carlos Lozano,
Jorge Ponsín
Publication year - 2021
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/1024/1/012042
Subject(s) - inviscid flow , euler equations , airfoil , euler's formula , mathematics , surface (topology) , adjoint equation , euler method , mathematical analysis , partial differential equation , geometry , mechanics , physics
This paper describes a surprising problem encountered in the numerical solution of the Adjoint Euler equations. The basic result presented here is that certain two and three dimensional numerical solutions to the adjoint Euler equations have a value at and near the surface of wings and airfoils that depends strongly on the mesh density and which does not converge as the mesh is refined. The purpose of this paper is to characterize this problem and offer insights as to the possible explanation of this unusual behavior.