High-Order Multidomain Spectral Difference Method for the Navier-Stokes Equations on Unstructured Hexahedral Grids
By Yuzhi Sun, Zhijian Wang, Yen Liu. Communications in Computational Physics, 2006
201 citations recorded by the source corpus.
*† ‡ A high order multidomain spectral difference (SD) method is developed for the three dimensional Navier-Stokes equations on unstructured hexahedral grids. The method is easy to implement since it involves one-dimensional operations only, and does not involve surface or volume integrals. Universal reconstructions are obtained by distributing solution and flux points in a geometrically similar manner in a unit cube. The concepts of the Riemann solver and high-order local representations are applied to achieve conservation and high order accuracy. In this paper, accuracy studies are performed to numerically verify the order of accuracy using flow problems with analytical solutions. High order of accuracy and spectral convergence are obtained for the propagation of an isotropic vortex and the Couette flow. The capability of the method for more complex, inviscid and viscous flow problems with curved boundaries is also demonstrated.
Subfields: Computational Mechanics
View Paper: https://www.semanticscholar.org/paper/815ae3ee2e7de097d9a57180e94eaa3b50ad30a8
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In Computational Mechanics
Citations in the corpus
- PyFR: An open source framework for solving advection-diffusion type problems on streaming architectures using the flux reconstruction approach (2013, unknown): “x; 9 10 for (int _y = 0; _y < _ny && _x < _nx; ++_y) 11 { 12 fpdtype_t rcpdjac, tdivtconf[4]; 13 14 // Load rcpdjac 15 rcpdjac = rcpdjac_v[ldrcpdjac*_y + _x]; 16 17 // Load tdivtconf 18 tdivtconf[0] = tdivtconf_v[ldtdivtconf*_y + _x + _nx*0]; 19 tdivtconf[1] = tdivtconf_v[ldtdivtconf*_y + _x + _nx*1”
- A High-Order Unifying Discontinuous Formulation for the Navier-Stokes Equations on 3D Mixed Grids (2011, methodology): “The Reynolds number based on the diameter was chosen to be 118 so that we can compare the obtained results with experimental data [37] and numerical results using the SD scheme [36, 44].”