What is it about?
Receptivity of flow in a square lid driven cavity to implicit numerical excitations for high-fidelity HPC: This is the numerical solution of the Navier-Stokes equation for the flow using parallel combined compact scheme along with fourth order Runge-Kutta time integration. This not only provides finer details of bifurcation, but this results provides the benchmark solution at high Reynolds number.
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Why is it important?
This is about direct numerical simulation (DNS) of the canonical flow in a square lid-driven cavity to produce extremely accurate solution produced by high performance computing (HPC) using combined compact scheme. Such unprecedent accurate results are backed up by the global spectral analysis (GSA) of the numerical methods. GSA is the only tool for the analysis of any numerical methods and developed by the authors.
Perspectives
This invited paper provides the final word on the topic of flow inside the lid driven cavity. It will reveal how accurate analysis of scientific computing methods can be gainfully used to calibrate the employed parallel computing for the extremely high fidelity simulationos. This is an open-access paper and is readily available to anyone interested.
Professor Tapan Kumar Sengupta
Indian Institute of Technology Kanpur
Read the Original
This page is a summary of: Receptivity of flow in a square lid driven cavity to implicit numerical excitations for high-fidelity HPC, Mathematics and Systems Science, February 2025, Asia Pacific Academy of Science Pte. Ltd.,
DOI: 10.54517/mss3108.
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