Publication Type
Conference Paper
Journal Name
Lecture Notes in Computer Science and Engineering
Publication Date
Page Numbers
157 to 166
Volume
106
Issue
1
Conference Name
ICSAHOM
Conference Location
Salt Lake City, Utah, United States of America
Conference Date
Abstract
Filtering is necessary to stabilize piecewise smooth solutions. The resulting diffusion stabilizes the method, but may fail to resolve the solution near discontinuities. Moreover, high order filtering still requires cost prohibitive time stepping. This paper introduces an adaptive filter that controls spurious modes of the solution, but is not unnecessarily diffusive. Consequently we are able to stabilize the solution with larger time steps, but also take advantage of the accuracy of a high order filter.
