비압축성 점성유동의 와도와 압력 경계조건 = On the Vorticity and Pressure Boundary Conditions for Viscous Incompressible Flows

다국어 초록 (Multilingual Abstract)

As an alternative for solving the incompressible Navier-Stokes equations) we present. a vorticity integro-differential formulation for vorticity) velocity and pressure variables. One of the most difficult problems encountered in the vorticity-based methods is the introduction of the proper value of vorticity or vorticity flux at the solid surface. A practical computational technique toward solving this problem is presented in connection with the coupling between the vorticity and the pressure boundary conditions. Numerical schemes based on an iterative procedure are employed to solve the governing equations with the boundary conditions for the three variables. A finite volume method is implemented to integrate the vorticity transport equation with the dynamic vorticity boundary condition. The velocity field is obtained by using the Biot-Savart integral derived from the mathematical vector identity. Green)s scalar identity is used to solve the total pressure in an integral approach similar to the surface panel methods which have been well-established for potential flow analysis. The calculated results with the present method for two test problems are compared with data from the literature in order for its validation. The first. test problem is one for the two-dimensional square cavity flow driven by shear on the top lid. Two cases arc considered here: (i) one driven both by the specified non-uniform shear on the top lid and by the specified body forces acting through the cavity region, for which we find the exact solution, and (ii) one of the classical type (I.e.) driven only by uniform shear). Secondly, the present method is applied to deal with the early development of the flow around an impulsively started circular cylinder.

목차 (Table of Contents)

• Abstract
  
• 1. 서언
  
• 2. 유동해석의 정식화
  
• 3. 수치해석방법
  
• 4. 계산예
  
• 5. 결언
  
• 참고문헌