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Test cases for 2d compressible viscous flows

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Old   October 24, 2017, 16:29
Default Test cases for 2d compressible viscous flows
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Aranya Dan
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I have written a code for solving unsteady 2d compressible viscous flows with WENO5 schemes and looking for simple test cases. I have checked the inviscid case solving 2d Reimann problems and have acceptable results. Lid-driven cavity isn't a good option as the benchmarks available are for incompressible flows. I dont want to solve over 0012 airfoil as setting up the grid itself would take a lot of time. Please mention some test cases along with reference papers to test run my code.
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Old   October 25, 2017, 09:54
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Praveen. C
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Some problems you can try with a weno code on Cartesian grids

These two have smooth solutions but good to test code since they have exact solution:
Plane Poiseuille (density is constant)
Plane couette (constant pressure, variable density)

Shock-boundary layer interaction: google this

A Validated Nonlinear Kelvin-Helmholtz Benchmark for Numerical Hydrodynamics
https://arxiv.org/abs/1509.03630

A vortex roll-up test, incompressible but good to test weno scheme since vorticity develops sharp gradients, you can try this at low mach number.
Jian-Guo Liu and Chi-Wang Shu, A High-Order Discontinuous Galerkin Method for 2D Incompressible Flows, Journal of Computational Physics 160(2):577-596, August 1999, DOI: 10.1006/jcph.2000.6475
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Old   October 25, 2017, 10:26
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Joern Beilke
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There are some testcases on:

https://github.com/unicfdlab?tab=repositories

(pisoCentral, QGD, hybridSolvers)

Some of the cases are described here:

https://www.researchgate.net/publica..._viscous_flows
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