file
MassFractionBeta.hppSystem of massfraction beta SDEs.
Contents
 Reference
In a nutshell, the equation integrated governs a set of scalars, , , as
with parameter vectors , , and . This is the same as in DiffEq/Beta.h. Here is an isotropic vectorvalued Wiener process with independent increments. The invariant distribution is the joint beta distribution. This system of SDEs consists of N independent equations. For more on the beta SDE, see https:/
In addition to integrating the above SDE, there are two additional functions of are computed as
These equations compute the instantaneous mixture density, , and instantaneous specific volume, , for equation in the system. These quantities are used in binary mixing of variabledensity turbulence between two fluids with constant densities, and . The additional parameters, and are user input parameters and kept constant during integration. Since we compute the above variables, and , and call them mixture density and specific volume, respectively, , governed by the beta SDE is a mass fraction, hence the name massfraction beta.
All of this is unpublished, but will be linked in here once published.
Namespaces
 namespace walker
 Walker declarations and definitions.
Classes

template<class Init, class Coefficients>class walker::MassFractionBeta
 MassFractionBeta SDE used polymorphically with DiffEq.