From Einstein’s equations to BSSN and FO-CCZ4
Why the covariant field equations are not yet a time-marching algorithm, and how ADM, BSSN, CCZ4, and FO-CCZ4 reorganize spacetime geometry into numerical evolution systems.
Writing
Writing & ideas
A closer look at the ideas behind my work. This collection draws on my research in numerical methods, scientific computing, and building reliable software.
A unified model for two-phase transport of CO₂-rich mixtures
How HEM, a Helmholtz-energy EOS, stability analysis, a reformulated UVN flash, and equilibrium sound speed combine in multicomponent pipeline simulations.
Solving the multicomponent UVN flash in TVN space
A step-by-step account of stability analysis, entropy maximization, the λ = −1/T result, the Helmholtz Q-function, and why eliminating nested temperature solves matters.
From four equilibrium equations to one: faster pure-CO₂ depressurization
How the saturation curve reduces the pure-component UV flash, how differentiating the constraint yields a temperature ODE, and where the efficiency–conservation trade-off appears.
Why CO₂ pipeline transport is a thermodynamics problem
From CCS infrastructure and phase envelopes to Riemann waves, water hammer, and a proposed CO₂-hammer benchmark: an accessible map of the modelling problem.