Compressible Multiphase

Compressible Multiphase Flow CFD: Why It's Hard, Why It Matters

Averaging gamma at a gas-liquid interface does not recover the pressure. Near half gas fraction, the mixture sound speed falls to about one hundredth.

Mar 4, 2026

Interface Capturing Methods: VOF vs Level Set vs Diffuse Interface

A conservative alpha update rings the pressure at a contact. The five-equation model leaves only alpha advection non-conservative, and equilibrium holds.

Mar 6, 2026

From the Riemann Problem to Godunov's Scheme - The Essence of Numerical Flux

Godunov flux comes from p* in a two-constant Riemann problem. Shock branches use a square-root f_K; rarefactions use an isentropic power.

Mar 5, 2026

5-Equation Model Implementation Guide: Building a Multiphase Flow Solver in Python

At volume fraction 0.5 the mixture sound speed is about 24 m/s. The same initial air is near 374 m/s and the water near 1625 m/s.

Mar 7, 2026

Rhie-Chow Interpolation for Compressible Multiphase Flows

At a water-air density ratio of 1000, the arithmetic mean density is 500.5 and the harmonic mean is 2.0. Filter only the driving pressure.

Mar 10, 2026