Computation of Time-Accurate Laminar Flows Using Dual Time Stepping and Local Preconditioning with Multigrid

Murat UYGUN

Makale detayları

Computation of Time-Accurate Laminar Flows Using Dual Time Stepping and Local Preconditioning with Multigrid

Yazarlar:

Murat UYGUN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Engineering and Environmental Sciences 2007 Vol.31 Issue 4, pp.211-223

Belge Tipi:

Makale

Yayın Tarihi:

3/2007

Belge Dili:

Türkçe

Document ID (Org No.):

2000744915

Sıklık:

Üç Yıllık

eISSN:

1303-6157

pISSN:

1300-0160

Özet:

 

A cell-centered finite volume method with explicit dual  time-stepping and a low Mach number preconditioning technique is  successfully applied to 2-dimensional Navier-Stokes equations for the  numerical solution of time-dependent flows ranging from near  incompressible limit to high subsonic Mach numbers.  Preconditioning  techniques have been widely used in order to remove the disparity  between acoustic and convective speeds that degrades the convergence  rate noticeably at low subsonic Mach numbers.  In dual time stepping,  a modified steady problem is solved by advancing in pseudo time at  each physical time step.  A multistage explicit Runge-Kutta  time-stepping scheme is used for marching in pseudo time.  Convergence  is accelerated by means of local time stepping, residual smoothing,  and multigrid.  The accuracy of the time-accurate Navier-Stokes solver  is verified by comparing predictions of the Strouhal numbers for the  Karman vortex streets of the cylinder and of the blunt flat plate with  the experimental data.

 

A cell-centered finite volume method with explicit dual  time-stepping and a low Mach number preconditioning technique is  successfully applied to 2-dimensional Navier-Stokes equations for the  numerical solution of time-dependent flows ranging from near  incompressible limit to high subsonic Mach numbers.  Preconditioning  techniques have been widely used in order to remove the disparity  between acoustic and convective speeds that degrades the convergence  rate noticeably at low subsonic Mach numbers.  In dual time stepping,  a modified steady problem is solved by advancing in pseudo time at  each physical time step.  A multistage explicit Runge-Kutta  time-stepping scheme is used for marching in pseudo time.  Convergence  is accelerated by means of local time stepping, residual smoothing,  and multigrid.  The accuracy of the time-accurate Navier-Stokes solver  is verified by comparing predictions of the Strouhal numbers for the  Karman vortex streets of the cylinder and of the blunt flat plate with  the experimental data.

Makale detayları

Computation of Time-Accurate Laminar Flows Using Dual Time Stepping and Local Preconditioning with Multigrid

Yazarlar: Murat UYGUN

Yayıncı: TUBITAK

Dergi: Turkish Journal of Engineering and Environmental Sciences 2007 Vol.31 Issue 4, pp.211-223

Belge Tipi: Makale

Yayın Tarihi: 3/2007

Belge Dili: Türkçe

Document ID (Org No.): 2000744915

Sıklık: Üç Yıllık

eISSN: 1303-6157

pISSN: 1300-0160

Sayı

Yazarlar:

Murat UYGUN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Engineering and Environmental Sciences 2007 Vol.31 Issue 4, pp.211-223

Belge Tipi:

Makale

Yayın Tarihi:

3/2007

Belge Dili:

Türkçe

Document ID (Org No.):

2000744915

Sıklık:

Üç Yıllık

eISSN:

1303-6157

pISSN:

1300-0160