Testing the HONDO, TOODY, and THREEDY wavecodes on a linearized elastic wave propagation problem

Technical Report · Fri Apr 01 04:00:00 EST 1977

OSTI ID:7141830

Hicks, D L; Madsen, M M

HONDO bases its discretization on a finite element method; TOODY, on a finite difference method; and THREEDY, on an operator splitting method. THREEDY has explicit and implicit options; the latter avoids the CFL constraint. As the test problem, an elastic plate has a load suddenly applied to a strip on the surface of the plate. This loading initiates a shock wave, a cylindrical dilatational wave, and a shear wave; they transit the plate and reflect from the back surface. To quantify the comparison, a measure of the distance between the exact solution and the wavecode's solution was calculated as an error number. Implicit THREEDY had an error of 0.1315; TOODY had 0.0800; HONDO had 0.0671; and explicit THREEDY had 0.0569. Variations on the THREEDY scheme were constructed and tested. The best calculation to date is by a modification of explicit THREEDY; its error is 0.0119. 46 figures, 5 tables.

• Research Organization: Sandia Labs., Albuquerque, NM (USA)
• DOE Contract Number: EY-76-C-04-0789
• OSTI ID: 7141830
• Report Number(s): SAND-76-0744
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
COMPUTER CODES
ERRORS
FINITE DIFFERENCE METHOD
FINITE ELEMENT METHOD
H CODES
ITERATIVE METHODS
MOTION
NUMERICAL SOLUTION
PLATES
SHOCK WAVES
T CODES
TESTING
TWO-DIMENSIONAL CALCULATIONS
WAVE PROPAGATION