Physically consistent models for artificial dissipation in transonic potential flow computations Article

Dulikravich, GS, Mortara, KW, Marraffa, L. (1990). Physically consistent models for artificial dissipation in transonic potential flow computations . COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 79(3), 309-320. 10.1016/0045-7825(90)90066-U

cited authors

  • Dulikravich, GS; Mortara, KW; Marraffa, L

authors

abstract

  • The effects that artificial dissipation has on numerical solutions of the transonic full potential equation (FPE) are investigated by comparing the artificially dissipative FPE to a physically dissipative potential (PDP) equation. Analytic expressions were derived for the variables C and Mc that are used in the artificial density formulation. It was shown that these new values generate artificial dissipation, which is equivalent to the physical dissipation which exists in the PDP equation. The new expressions for the variables C and Mc can easily be incorporated into the existing full potential codes, which are based either on the artificial density or on the artificial viscosity formulation. Comparisons of physically dissipative potential (PDP) with the artificial density or viscosity (ADV), artificial mass flux (AMF), and ADV with variable C and Mc formulation (MCC) illustrate the fact that the ADV dissipation creates excessively large amounts of equivalent entropy. As an alternative, AMF and MCC physically consistent formulations offer considerably lower equivalent entropy jumps across shocks. © 1990.

publication date

  • January 1, 1990

published in

Digital Object Identifier (DOI)

start page

  • 309

end page

  • 320

volume

  • 79

issue

  • 3