Development of a rotary wing multigrid navier-stokes cfd code based on tlns3d code

摘要

This paper presents the development of a multigrid Navier-Stokes code TLNS3DR for rotary wing calculations. The TLNS3DR is developed from the fixed-wing TLNS3D code by including a rotation term and making necessary modifications on bound ary conditions. The TLNS3D code solves the thin layer Navier-Stokes equations using an explicit multistage Runge-Kutta type of time stepping with multigrid method. The TLNS3DR code re-formulates the TLNS3D code in the rotor blade-fixed moving frame of reference and solves relative motion of fluids. In this pepr, the formulation of the Navier-Stokes equations in the moving frame of reference in terms of relative velocity is given. Several numerical examples are then presented. The results of rotor blade in hover calculated by the new TLNS3DR code seem quantitatively correct, although the accuracy of the code for rotary wings needs to be tested and the fine-tune of the code may be necessary for improving the quantity of the code. The computation also shows that this multigrid code is efficient.