Direct Numerical Simulations Of Gas-Liquid Flows With Focus On Interfacial Instabilities And Breakup Based On Our Own Sharp Interface Method

  • ALL-SPEED (FULLY COMPRESSIBLE) NAVIER-STOKES SOLVER.
  • HIGHLY RESOLVED INTERFACIAL CURVATURE AND BOUNDARY LAYERS
  • CONSISTENT BOUNDARY CONDITIONS ON FREE INTERPHASE TO SATISFY JUMP CONDITIONS
  • CUT-CELL TREATMENT OF THE INTERPHASE, WITH 2ND ORDER DELINEATION, INTERFACE VELOCITIES OBTAINED FROM EXACT RIEMANN SOLUTION
  • NUMERICAL SCHEME IS CONSERVATIVE,  CONSISTENT AND CONVERGES TO SECOND ORDER, THUS GUARANTEEING UNIQUNESS OF WEAK SOLUTIONS OF CONSERVATION LAWS (P.D. Lax, 2006).

P. Colella, An interview with Peter D. Lax, conducted by Society for Industrial and Applied Mathematics. <http://history.siam.org/oralhistories/lax.htm>, 2006.

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