Mesh adaptation using different error indicators for the Euler equations
X Zhang, MG Vallet, J Dompierre, P Labbe… - 15th AIAA …, 2001 - arc.aiaa.org
15th AIAA computational fluid dynamics conference, 2001•arc.aiaa.org
This paper investigates the efficiency of mesh adaptation methods to control the error in the
solution of oneand two-dimensional Euler equations. Two types of error indicators are
compared: error indicators based on solution reconstruction and indicators based on
evaluation of the partial differential equations. Numerical tests in one dimension confirm that
a residual error indicator is a most efficient way to reduce both the error and the residual for
of subsonic flows. In the case of transonic flows, however, the use of a residual error …
solution of oneand two-dimensional Euler equations. Two types of error indicators are
compared: error indicators based on solution reconstruction and indicators based on
evaluation of the partial differential equations. Numerical tests in one dimension confirm that
a residual error indicator is a most efficient way to reduce both the error and the residual for
of subsonic flows. In the case of transonic flows, however, the use of a residual error …
Abstract
This paper investigates the efficiency of mesh adaptation methods to control the error in the solution of oneand two-dimensional Euler equations. Two types of error indicators are compared: error indicators based on solution reconstruction and indicators based on evaluation of the partial differential equations. Numerical tests in one dimension confirm that a residual error indicator is a most efficient way to reduce both the error and the residual for of subsonic flows. In the case of transonic flows, however, the use of a residual error indicator is not locally effective for the sonic region. Some results concerning solution error indicators are extended to two-dimensional cases, but further work is required to develop an effective residual error indicator for the twodimensional Euler equations.
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