A Semi-implicit weakly compressible solver for gas-liquid two-phase flows

Sugihara, Kenta ; Onodera, Naoyuki*; Idomura, Yasuhiro   ; Sitompul, Y.  ; Yamashita, Susumu   

We propose a new gas-liquid two-phase fluid calculation method that improves computational efficiency compared with the conventional incompressible method (Incompressible). The methods are called the semi-implicit compressible method (SI-C) and the semi-implicit weakly compressible method (SI-WC). SI-C improves the convergence of the iterative solver by computing the pressure Poisson-type equation derived from the compressible fluid equation. In SI-WC, the number of iterations can be further reduced by computing a weakly compressible Poisson-type equation that uses an artificial sound speed controlled by the Mach number. The validity of the proposed method was verified by dam breaking problems and bubbly flow analysis, and comparative verification showed that compared to Incompressible, SI-C and SI-WC accelerate the pressure Poisson-type equation solver by a factor of two and four, respectively, while achieving almost the same solutions.