An implicit P-multigrid flux reconstruction method for simulation of locally preconditioned unsteady Navier–Stokes equations at low Mach numbers
| dc.contributor.author | Wang, Lai | |
| dc.contributor.author | Yu, Meilin | |
| dc.date.accessioned | 2019-11-14T16:09:36Z | |
| dc.date.available | 2019-11-14T16:09:36Z | |
| dc.date.issued | 2019-08 | |
| dc.description.abstract | We develop a P-multigrid solver to simulate locally preconditioned unsteady compressible Navier–Stokes equations at low Mach numbers with implicit high-order methods. Specifically, the high-order flux reconstruction/correction procedure via reconstruction (FR/CPR) method is employed for spatial discretization and the high-order time integration is conducted by means of the explicit first stage, singly diagonally implicit Runge-Kutta (ESDIRK) method. Local preconditioning is used to alleviate the stiffness of the compressible Navier–Stokes equations at low Mach numbers and is only conducted in pseudo transient continuation to ensure the high-order accuracy of ESDIRK methods. We employ the element Jacobi smoother to update the solutions at different P-levels in the P-multigrid solver. Highorder spatiotemporal accuracy of the new solver for low-Mach-number flow simulation is verified with the isentropic vortex propagation when the Mach (Ma) number of the free stream is 0.005. The impact of the hierarchy of polynomial degrees on the convergence speed of the P-multigrid method is studied via several numerical experiments, including two dimensional (2D) inviscid and viscous flows over a NACA0012 airfoil at Ma = 0.001, and a three dimensional (3D) inviscid flow over a sphere at Ma = 0.001. The P-multigrid solver is then applied to coarse resolution simulation of the transitional flows over an SD7003 wing at 8◦ angle of attack when the Reynolds number is 60000 and the Mach number is 0.1 or 0.01. | en_US |
| dc.description.sponsorship | The authors gratefully acknowledge the support of the Office of Naval Research through the award N00014-16-1-2735, and the faculty startup support from the department of mechanical engineering at the University of Maryland, Baltimore County (UMBC). The hardware used in the computational studies is part of the UMBC High Performance Computing Facility (HPCF). The facility is supported by the U.S. National Science Foundation through the MRI program (grant nos. CNS-0821258, CNS-1228778, and OAC-1726023) and the SCREMS program (grant no. DMS-0821311), with additional substantial support from UMBC. | en_US |
| dc.description.uri | https://arxiv.org/abs/1908.03972 | en_US |
| dc.format.extent | 32 pages | en_US |
| dc.genre | journal articles preprints | en_US |
| dc.identifier | doi:10.13016/m2zxlr-yrbl | |
| dc.identifier.uri | http://hdl.handle.net/11603/16290 | |
| dc.language.iso | en_US | en_US |
| dc.relation.isAvailableAt | The University of Maryland, Baltimore County (UMBC) | |
| dc.relation.ispartof | UMBC Mechanical Engineering Department Collection | |
| dc.relation.ispartof | UMBC Student Collection | |
| dc.relation.ispartof | UMBC Faculty Collection | |
| dc.rights | This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author. | |
| dc.subject | high-order flux reconstruction | en_US |
| dc.subject | P-multigrid | en_US |
| dc.subject | implicit time marching | en_US |
| dc.subject | low Mach number | en_US |
| dc.subject | unsteady flows | en_US |
| dc.subject | coarse resolution simulation | en_US |
| dc.subject | UMBC High Performance Computing Facility (HPCF) | |
| dc.title | An implicit P-multigrid flux reconstruction method for simulation of locally preconditioned unsteady Navier–Stokes equations at low Mach numbers | en_US |
| dc.type | Text | en_US |