TWO-DIMENSIONAL CAVITATION PREDICTION BASED ON APPROXIMATE JACOBIAN MATRIX IN TWO-FLUID TWO-PHASE FLOW MODELS

2-유체 2상-유동 모델에서 근사 Jacobian 행렬을 이용한 2차원 캐비테이션의 예측

We developed an upwind numerical formulation based on the eigenvalues of the approximate Jacobian matrix in order to solve the hyperbolic conservation laws governing the two-fluid two-phase flow models. We obtained eight analytic eigenvalues in the two dimensions that can be used for estimate of the wave speeds essential in constructing an upwind numerical method. Two-dimensional underwater cavitation in a flow past structural shapes or by underwater explosion can be solved using this method. We present quantitative prediction of cavitation for the water tunnel wall and airfoils that has both experimental data as well as numerical results by other numerical methods and models.