Ge. Schneider et Smh. Karimian, ADVANCES IN CONTROL-VOLUME-BASED FINITE-ELEMENT METHODS FOR COMPRESSIBLE FLOWS, Computational mechanics, 14(5), 1994, pp. 431-446
Recent developments in the application of a control-volume-based finit
e-element method, that has proven successful in solving incompressible
flow problems, to the solution of compressible flow problems are pres
ented. The finite Element Differential Scheme (FIELDS) is demonstrated
to retain the pressure checker boarding problem for the case of Euler
flow under certain conditions of flow. The source of this is investig
ated and remedies are provided that surmount this problem for all flow
s including Euler flows. Success is demonstrated for incompressible fl
ow and a formulation is provided for extension to compressible flows.
One dimensional testing on a supersonic converging-diverging nozzle ex
hibits extremely high accuracy of flow prediction including both shock
strength and sharpness of resolution.