A Computationally Efficient Dynamic Grid Motion Approach for Arbitrary Lagrange–Euler Simulations

The present article addresses the topic of grid motion computation in Arbitrary Lagrange–Euler (ALE) simulations, where a fluid mesh must be updated to follow displacements Lagrangian boundaries. A widespread practice is deduce for internal nodes from parabolic equation, such as harmonic introducing an extra computational cost solver. An alternative strategy proposed minimize that by changing equation hyperbolic implementing additional time derivative term allowing explicit solution problem. fictitious dynamic problem thus obtained grid, with dedicated material parameters carefully chosen enhance efficiency and preserve quality accuracy physical solution. After reminding basics ALE expression Navier–Stokes equations describing problem, paper provides necessary characterization influence analysis robustness new approach compared reference on significant 2D test case. 3D case finally extensively studied terms performance highlight discuss benefits motion.