C Primary sources

The works below provide historical and technical context. Graph definitions, worked arithmetic, recommendations, experiments and Lean contracts are independently specified for Rheon. No third-party figures or long quotations are reproduced. Publisher-only citations identify original works without implying full-paper reproduction.

[S1] Jos Stam. Stable Fluids. SIGGRAPH 1999, 121-128. DOI 10.1145/311535.311548. Author paper. Semi-Lagrangian graphics simulation.

[S2] Francis H. Harlow and J. Eddie Welch. Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface. Physics of Fluids 8, 2182-2189, 1965. DOI 10.1063/1.1761178. Paper. Marker-and-cell foundation.

[S3] Alexandre J. Chorin. Numerical Solution of the Navier-Stokes Equations. Mathematics of Computation 22, 745-762, 1968. Author paper. Projection methods.

[S4] Robert Bridson and Matthias Müller-Fischer. Fluid Simulation. SIGGRAPH 2007 Course Notes. Author notes. Broad numerical implementation context.

[S5] Jonathan Richard Shewchuk. An Introduction to the Conjugate Gradient Method Without the Agonizing Pain. 1994. Author paper. Krylov methods and conditioning.

[S6] Andrew Selle, Ronald Fedkiw, ByungMoon Kim, Yingjie Liu and Jarek Rossignac. An Unconditionally Stable MacCormack Method. Journal of Scientific Computing 35, 350-371, 2008. Publisher. Corrected advection.

[S7] Christopher Batty, Florence Bertails and Robert Bridson. A Fast Variational Framework for Accurate Solid-Fluid Coupling. ACM Transactions on Graphics, 2007. Author paper. Boundary coupling.

[S8] Stanley Osher and James A. Sethian. Fronts Propagating with Curvature-Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulations. Journal of Computational Physics 79, 12-49, 1988. Author paper. Level sets.

[S9] C. W. Hirt and B. D. Nichols. Volume of Fluid Method for the Dynamics of Free Boundaries. Journal of Computational Physics 39, 201-225, 1981. Publisher. Volume fractions.

[S10] Douglas Enright, Ronald Fedkiw, Joel Ferziger and Ian Mitchell. A Hybrid Particle Level Set Method for Improved Interface Capturing. Journal of Computational Physics 183, 83-116, 2002. Publisher. Particle interface correction.

[S11] Christopher Batty and Robert Bridson. A Simple Finite Difference Method for Time-Dependent, Variable Coefficient Stokes Flow on Irregular Domains. 2010 preprint. Paper. Coupled viscosity and pressure.

[S12] Ronald Fedkiw, Jos Stam and Henrik Wann Jensen. Visual Simulation of Smoke. SIGGRAPH 2001. Author paper. Smoke and confinement.

[S13] Matthias Müller, David Charypar and Markus Gross. Particle-Based Fluid Simulation for Interactive Applications. SCA 2003. Author paper. SPH.

[S14] Lvmin Zhang, Anyi Rao and Maneesh Agrawala. Adding Conditional Control to Text-to-Image Diffusion Models. 2023. Paper. Spatial conditioning; not a Rheon-specific error guarantee.

[S15] Miles Macklin and Matthias Müller. Position Based Fluids. ACM Transactions on Graphics 32, 2013. Author preprint. Density constraints.

[S16] Chenfanfu Jiang, Craig Schroeder, Andrew Selle, Joseph Teran and Alexey Stomakhin. The Affine Particle-In-Cell Method. ACM Transactions on Graphics 34, 2015. Publisher. APIC.

[S17] Chenfanfu Jiang, Craig Schroeder and Joseph Teran. An Angular Momentum Conserving Affine-Particle-In-Cell Method. 2016 preprint; Journal of Computational Physics, 2017. Paper. Specified transfer conservation.

[S18] David Goldberg. What Every Computer Scientist Should Know About Floating-Point Arithmetic. ACM Computing Surveys, 1991. Authorized reprint. Rounding and exceptional arithmetic.

[S19] Rheon repository README, revision 0cb48429789699578b640d30d9d5dc99c6921ce4. Pinned source. Project scope; no production solver at this revision.

[S20] MrScripty. Coding Standards, revision dcc56f26e884ade260770beceba2501d3746200d. Pinned source. Ownership, evidence and performance guidance.

[S21] Lean community. Lean 4.19.0 and pinned mathlib. Formal environment.

[S22] Yousef Saad. Iterative Methods for Sparse Linear Systems, second edition. SIAM, 2003. Author hosted book. Multigrid and iterative-method context. The companion hierarchy and its measured results are independently constructed.

Read a model variant before using it

Inspect the supplied SST-2003 limiter, then read the primary model/variant record linked from chapter 22. Keep the publication motivation, maintained equation specification and locally executed probe as distinct evidence. The 1992 report does not specify all 2003 coefficients. An inaccessible proceedings text is identified as unread. No figure, code or dataset from those publications is included.