Simulation of 2-D Compressible Flows on a Moving Curvilinear Mesh with an Implicit-Explicit Runge-Kutta Method

  • Moataz AbuAlSaud

Student thesis: Master's Thesis


The purpose of this thesis is to solve unsteady two-dimensional compressible Navier-Stokes equations for a moving mesh using implicit explicit (IMEX) Runge- Kutta scheme. The moving mesh is implemented in the equations using Arbitrary Lagrangian Eulerian (ALE) formulation. The inviscid part of the equation is explicitly solved using second-order Godunov method, whereas the viscous part is calculated implicitly. We simulate subsonic compressible flow over static NACA-0012 airfoil at different angle of attacks. Finally, the moving mesh is examined via oscillating the airfoil between angle of attack = 0 and = 20 harmonically. It is observed that the numerical solution matches the experimental and numerical results in the literature to within 20%.
Date of AwardJul 2012
Original languageEnglish (US)
Awarding Institution
  • Physical Sciences and Engineering
SupervisorRavi Samtaney (Supervisor)


  • Simulation
  • Compressible flows
  • Runge-Kutta
  • Curvilinear mesh
  • Implicit-explicit
  • Moving mesh

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