Numerical simulation of three-dimensional unsteady vortex flow using a compact vorticity-velocity algorithm. (English) Zbl 0684.76025
Numerical methods in fluid mechanics, Proc. 7th GAMM-Conf., Louvain-La- Neuve/Belg. 1987, Notes Numer. Fluid Mech. 20, 104-111 (1988).
Summary: [For the entire collection see Zbl 0652.00019.]
A numerical algorithm is presented which is used to solve the unsteady, fully three-dimensional, incompressible Navier-Stokes equations in vorticity-velocity variables. A discussion of the discrete approximation scheme is presented as well as the solution method used to solve the resulting algebraic set of difference equations. Second order spatial and temporal accuracy is verified through solution comparisons with exact results obtained for steady three-dimensional stagnation point flow and unsteady axisymmetric vortex spin-up. In addition, results are presented for the problem of unsteady bubble-type vortex breakdown with emphasis on internal bubble dynamics and structure.
A numerical algorithm is presented which is used to solve the unsteady, fully three-dimensional, incompressible Navier-Stokes equations in vorticity-velocity variables. A discussion of the discrete approximation scheme is presented as well as the solution method used to solve the resulting algebraic set of difference equations. Second order spatial and temporal accuracy is verified through solution comparisons with exact results obtained for steady three-dimensional stagnation point flow and unsteady axisymmetric vortex spin-up. In addition, results are presented for the problem of unsteady bubble-type vortex breakdown with emphasis on internal bubble dynamics and structure.
MSC:
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
| 76M99 | Basic methods in fluid mechanics |
