A conservative Eulerian formulation of the equations for elastic flow

Authors:
Bradley J Plohr;David H Sharp
Affiliations:
Computer Sciences Department and Center for the Mathematical Sciences, University of Wisconsin-Madison, Madison, Wisconsin 53706 U.S.A.;Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 U.S.A.
Venue:
Advances in Applied Mathematics
Year:
1988

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Abstract

We show how the partial differential equations governing elasticity can be written in fully conservative, first-order, Eulerian form. This permits investigation of wave solutions of the equations of elasticity by a combination of mathematical analysis and high-quality numerical methods based on Riemann solutions of the governing equations.