“Turbulence is the most important unsolved problem of classical physics.”
Field notes from a compressible multiphase CFD researcher
Top posts this week
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The Shock Wave in Your Kitchen Sink — Froude Number and the Hydraulic Jumpnew
Specific energy, critical depth, and the shallow-water to gas-dynamics analogy
When the Mesh Skews, the Laplacian Leaks — Non-Orthogonal Diffusion Correctionnew
Splitting the unstructured diffusion term into orthogonal plus correction, three ways
Where the Ideal Gas Starts to Lie — Compressibility Factor Z and the van der Waals Equationnew
Real gases through the compressibility factor, corresponding states, and the van der Waals loop
CFL = 1 takes ten thousand steps, CFL = 100 explodes — Switched Evolution Relaxationnew
SER ramps the CFL number from the residual to accelerate steady-state convergence
Why Droplet Simulations Get Trapped by Δt — Solving Surface Tension Implicitlynew
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 Modelnew
Structure of the non-equilibrium 7-equation model, its non-conservative terms, and the relaxation hierarchy
Surviving the Low-Viscosity Regime Where BGK Blows Up — MRT Lattice Boltzmann Collisionnew
Pushing past single-relaxation-time BGK with moment-space multiple relaxation in MRT-LBM
Why Gasoline Engines Stop at a Compression Ratio of 12 — Otto vs Dieselnew
Air-standard cycles on compression ratio, engine efficiency, and the knock wall
Solving Without Inverting the Matrix — GMRES and the Arnoldi Subspace
Building GMRES from scratch to solve sparse linear systems via Krylov and Arnoldi
Measure the Drag, Get the Heat Transfer — The Reynolds Analogy
Why friction and heat obey the same equation, and St·Pr^(2/3)=Cf/2
When Explicit Blows Up, Solve Implicit Without Inverting the Matrix — LU-SGS
Implicit time-stepping stability and the LU-SGS factorization, verified in code
[Paper Review] Not Killing Sound at Low Mach — An AP IMEX Wave Scheme
Why upwind viscosity erases the solution at low Mach, and the AP-IMEX cure