Raising the time step 5x ran 1.9x faster; 10x ran no faster at all — the window implicit surface tension opens
Breaching the capillary time-step constraint leaves other ceilings standing. Janodet et al. (2025) measured the stability limit and the speed-up optimum at a density ratio of 1000.
Halving the mesh made the blow-up arrive twice as fast — complex eigenvalues in the 6-equation two-fluid model
The single-pressure six-equation two-fluid model turns complex the moment the phases slip past each other. Raising the interfacial-pressure coefficient past exactly 1.0 puts the eigenvalues back on the real axis.
[Paper Review] Prying Advection and Pressure Fully Apart — TV Flux Splitting for Baer–Nunziato
Split the BN flux in two and the sound speed ends up entirely in the pressure system
[Paper Review] A Droplet Sends Almost Every Sound Wave Back — Acoustic Impedance and a Sharp-Interface Two-Phase Solver
Why a liquid-gas interface reflects 99.9% of an acoustic wave, and the fake sound speed a smeared interface invents
Why Laundry Dries at 5 °C — Diffusion-Limited Evaporation vs. Heat-Driven Boiling
Why non-boiling and boiling evaporation need different source terms
Un-smearing the Interface Every Step — Implementing Anti-Diffusion Sharpening (IST)
A post-processing technique that pins a numerically smeared interface to a constant thickness
Why a Droplet at Rest Starts to Flow — Parasitic Currents and Well-Balanced Surface Tension
The parasitic currents born from curvature error, and the well-balanced method that eliminates them
Why a Raindrop Is Not Tear-Shaped — The Weber Number and TAB Breakup
Reproducing how a droplet bursts in a gas stream with the TAB model
Why Droplet Simulations Get Trapped by Δt — Solving Surface Tension Implicitly
Reproducing Janodet 2025, which breaks the capillary time-step shackle with implicit surface tension
Giving Each Phase Its Own Equations — The Baer–Nunziato Seven-Equation Model
Structure of the non-equilibrium 7-equation model, its non-conservative terms, and the relaxation hierarchy
[Paper Review] Second-Order Accuracy in a Single Stage — A GRP Solver for the Kapila Multiphase Model
How a GRP solver buys second-order time accuracy and tames the stiff volume-fraction source at once
Why Droplets Are Round and Water Climbs the Glass — Surface Tension and Contact Angle
From the physics of surface tension to contact angle and the CSF model in CFD
Why a Shout Above Water Never Reaches Below — Acoustics Across a Diffuse Interface
How an impedance jump reflects and refracts sound, reproduced with a weak-compressibility model
[Paper Review] Two-Phase Flow Without a Poisson Solver — Coupling the General Pressure Equation with MSTACS
Swap the elliptic Poisson step for a hyperbolic GPE and run two-phase flow fully explicitly
Water Boils at 20°C Too — The Physics of Cavitation
How depressurization makes water boil, the cavitation number, and the 10,000-bar collapse.
SPH Without Tears — Solving Fluids with Particles, from Kernel to Artificial Viscosity
How Smoothed Particle Hydrodynamics replaces grids with particles — equations, code, traps.
Rhie-Chow Interpolation for Compressible Multiphase Flows
From the checkerboard problem on collocated grids to balanced-force multiphase flows, we systematically summarize the mathematical essence and OpenFOAM implementation of Rhie-Chow interpolation.
5-Equation Model Implementation Guide: Building a Multiphase Flow Solver in Python
Directly implement a 5-equation diffuse interface model in Python and simulate a 1D shock-bubble interaction problem.
Interface Capturing Methods: VOF vs Level Set vs Diffuse Interface
Comparing the principles, pros/cons, and applications of three representative interface capturing techniques in compressible multiphase flows.
Compressible Multiphase Flow CFD: Why It's Hard, Why It Matters
Why compressible multiphase numerics differ fundamentally from single-phase flow, and why this remains an active research field.