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/honee/doc/
H A Dtheory.md31 \frac{\partial \bm{q}}{\partial t} + \nabla \cdot \bm{F}(\bm{q}) -S(\bm{q}) = 0 \, ,
54 \bm{F}(\bm{q}) &=
88 \int_{\Omega} \bm v \cdot \left(\frac{\partial \bm{q}_N}{\partial t} + \nabla \cdot \bm{F}(\bm{q}_N…
98 - \int_{\Omega} \nabla \bm v \!:\! \bm{F}(\bm{q}_N)\,dV & \\
99 + \int_{\partial \Omega} \bm v \cdot \bm{F}(\bm q_N) \cdot \widehat{\bm{n}} \,dS
104 where $\bm{F}(\bm q_N) \cdot \widehat{\bm{n}}$ is typically replaced with a boundary condition.
107F$ represents contraction over both fields and spatial dimensions while a single dot represents co…
111 <!-- TODO: This should be reframed in terms of PETSc TS's F(t, u, \dot u) = G(t, u) rather than spe…
138 f(t^n, \bm{q}_N^n) = - [\nabla \cdot \bm{F}(\bm{q}_N)]^n + [S(\bm{q}_N)]^n \, .
184 - \int_{\Omega} \nabla \bm v \!:\! \bm{F}(\bm{q}_N)\,dV & \\
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H A Dreferences.bib13 author = {Giraldo, F. X. and Restelli, M. and Läuter, M.},
113 author = {Toro, Eleuterio F.},
H A Dexamples.md76 Given the force components $\bm F = (F_x, F_y, F_z)$ and surface area $S = \pi D L_z$ where $L_z$ i…
604 \int_{\partial \Omega_{inflow}} \bm v \cdot \bm{F}(\bm q_N) \cdot \widehat{\bm{n}} \,dS = \int_{\pa…
611 \int_{\partial \Omega_{outflow}} \bm v \cdot \bm{F}(\bm q_N) \cdot \widehat{\bm{n}} \,dS = \int_{\p…
/honee/qfunctions/
H A Driemann_solver.h60 StateConservative F = { in Flux_HLL() local
65 return F; in Flux_HLL()
/honee/
H A DDoxyfile1505 # ad/0/A/9/0A939EF6-E31C-430F-A3DF-DFAE7960D564/htmlhelp.exe).