A solution method for the pressure-based boundary condition in the computation of two-dimensional incompressible viscous flow

2차원 비압축성 점성유동에 나타나는 압력 경계조건의 해결방안

A Numerical method has been introduced to handle a pressure-based boundary condition of the incompressible viscous flow field. This method, based on SIMPLER algorithm, has been applied to analyze the flow characteristics within a two-dimensional duct of two-exit, as an example. From this, it is possible to determine the ratio of flow rate through two exits imposed on different static pressure. In order to check the validity of the present method, calculated velocity at the boundary imposed on pressure condition by the use of present method has been transferred to the velocity boundary condition of the conventional numerical method workable only with the velocity-based boundary condition. It is found that the calculated boundary pressure from conventional method are almost identical to those endowed originally. Present method, therefore will be widely applicable to the practical situations specified by the pressure-based boundary condition rather than the velocity one.

본 연구에서는 SIMPLER 알고리즘이 응용된 기존 2차원 타원형 프로그램을 수 정하여 압력값의 절대치가 지배방정식의 경계조건으로 사용될 수 있도록 하였으며 이 를 이용한 계산예로서, 청정실과 유사한 유로에서의 유체 유동을 수치적으로 해석하여 수정된 프로그램의 타당성을 입증하였다.