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mahmoodi-darian--h
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Implementation of high-order compact finite-difference method to parabolized Navier-Stokes schemes
, Article International Journal for Numerical Methods in Fluids ; Volume 58, Issue 6 , 2008 , Pages 659-685 ; 02712091 (ISSN) ; Hejranfar, K ; Mahmoodi Darian, H ; Sharif University of Technology
2008
Abstract
The numerical solution to the parabolized Navier-Stokes (PNS) and globally iterated PNS (IPNS) equations for accurate computation of hypersonic axisymmetric flowfields is obtained by using the fourth-order compact finite-difference method. The PNS and IPNS equations in the general curvilinear coordinates are solved by using the implicit finite-difference algorithm of Beam and Warming type with a high-order compact accuracy. A shock-fitting procedure is utilized in both compact PNS and IPNS schemes to obtain accurate solutions in the vicinity of the shock. The main advantage of the present formulation is that the basic flow variables and their first and second derivatives are simultaneously...
On the use of high-order accurate solutions of PNS schemes as basic flows for stability analysis of hypersonic axisymmetric flows
, Article Journal of Fluids Engineering, Transactions of the ASME ; Volume 129, Issue 10 , 2007 , Pages 1328-1338 ; 00982202 (ISSN) ; Esfahanian, V ; Mahmoodi Darian, H ; Sharif University of Technology
2007
Abstract
High-order accurate solutions of parabolized Navier-Stokes (PNS) schemes are used as basic flow models for stability analysis of hypersonic axisymmetric flows over blunt and sharp cones at Mach 8. Both the PNS and the globally iterated PNS (IPNS) schemes are utilized. The IPNS scheme can provide the basic flow field and stability results comparable with those of the thin-layer Navier-Stokes (TLNS) scheme. As a result, using the fourth-order compact IPNS scheme, a high-order accurate basic flow model suitable for stability analysis and transition prediction can be efficiently provided. The numerical solution of the PNS equations is based on an implicit algorithm with a shock fitting procedure...