Computer Methods in Applied Mechanics and Engineering
High-Reynolds number solutions of Navier-Stokes equations using incremental unknowns
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2019, Communications in Nonlinear Science and Numerical SimulationChaos in the lid-driven square cavity
2017, Mathematics and Computers in SimulationCitation Excerpt :But yet, it appears to agree with the theory (see [16, page 13]) where wide eddies of each kind form out as the fluid evolves. Once and again, a benchmark for checking the accuracy and efficiency of NSE solvers [1,3,4,15,22,24–26,29,31,34,37,47], the lid-driven square cavity flow [38] becomes a benchmark for checking two-dimensional chaos in fluids [16]. First of all, four principles appear [26,27] at the genesis of small counterclockwise- or clockwise-rotating eddies:
Revisiting the lid-driven cavity flow problem: Review and new steady state benchmarking results using GPU accelerated code
2017, Alexandria Engineering JournalSolution of lid-driven cavity problems with an improved SIMPLE algorithm at high Reynolds numbers
2017, International Journal of Heat and Mass TransferCitation Excerpt :It should be noted that the initial fields have important effects on the performance of numerical algorithms. Some works [4] aim to obtain the steady state solutions of driven cavity flow at high Re using the incremental continuation technique to start their calculations. Since the purpose of this paper is to test the robustness and performance of the ISTEC-N algorithm, the same zero initial fields are used for all of the test cases.