شماره ركورد كنفرانس :
4018
عنوان مقاله :
A new convergence acceleration technique for solving unsteady incompressible Navier-Stokes equations
عنوان به زبان ديگر :
A new convergence acceleration technique for solving unsteady incompressible Navier-Stokes equations
پديدآورندگان :
Derazgisoo Seyed Moein moein.derazgisoo@shahroodut.ac.ir Shahrood University of Technology , Askari Lehdarboni Ahmad aaskari57@yahoo.com Shahrood University of Technology , Akbarzadeh Pooria akbarzad@ut.ac.ir Shahrood University of Technology
كليدواژه :
Unsteady incompressible flow , Cell , elimination method , Progressive power , law preconditioning method , Explicit four , stage Runge , Kutta scheme
عنوان كنفرانس :
هفدهمين كنفرانس ملي ديناميك شاره ها
چكيده فارسي :
A highly efficient method for solving unsteady incompressible flow simulation is introduced for the first time to reduce the computational cost, which is called cell-elimination method. The cell-elimination method is based on spares matrix solvers concept and it reduces useless cells in the computational domain. This scheme is combined with the progressive power-law preconditioning method in which the two-dimensional Navier-Stokes equations are modified by changing the terms of time derivative of the governing equations. The governing equations are integrated by means of Jameson s cell-centered finite volume numerical method. To achieve the steady state solution, the equations are integrated in pseudo-time using an explicit four-stage Runge-Kutta scheme with a local time step. For unsteady problems a dual-time implicit algorithm is applied to obtain time-accurate solutions. Results show that despite simplicity, for unsteady flows, accuracy and remarkable reduction in computational cost (about 33-83 times faster than the base scheme) are obtained.
چكيده لاتين :
A highly efficient method for solving unsteady incompressible flow simulation is introduced for the first time to reduce the computational cost, which is called cell-elimination method. The cell-elimination method is based on spares matrix solvers concept and it reduces useless cells in the computational domain. This scheme is combined with the progressive power-law preconditioning method in which the two-dimensional Navier-Stokes equations are modified by changing the terms of time derivative of the governing equations. The governing equations are integrated by means of Jameson s cell-centered finite volume numerical method. To achieve the steady state solution, the equations are integrated in pseudo-time using an explicit four-stage Runge-Kutta scheme with a local time step. For unsteady problems a dual-time implicit algorithm is applied to obtain time-accurate solutions. Results show that despite simplicity, for unsteady flows, accuracy and remarkable reduction in computational cost (about 33-83 times faster than the base scheme) are obtained.
