We find that the solution to the LED-based PDF equation, which is exact for uncorrelated reaction rates, is accurate even in the presence of strong correlations ...

In Section 2 we formulate the governing equations of advective-reactive transport in porous media and obtain an evolution law for the corresponding indicator ...

These PDF equations are solved analytically for transport with deterministic flow velocity and a linear reaction rate represented mathematically by a ...

Bibliographic details on Exact PDF equations and closure approximations for advective-reactive transport.

These PDF equations are solved analytically for transport with deterministic flow velocity and a linear reaction rate represented mathematically by a heterog ...

Exact PDF equations and closure approximations for advective-reactive transport · Stochastic Analysis of Advection-diffusion-Reactive Systems with Applications ...

Exact PDF equations and closure approximations for advective-reactive transport · Environmental Science, Mathematics. Journal of Computational Physics · 2013.

Mar 1, 2011 · We derive a deterministic equation for the probability density function (PDF) of the concentration of a solute that undergoes heterogeneous reactions.

These include closures based either on physical arguments, e.g., the “direct interaction approximation” (Kraichnan, 1965), the. “weak approximation” (Neuman, ...

Karniadakis, Exact. PDF equations and closure approximations for advective-reactive transport, J. Com- put. Phys., 243, 323-343, 2013. 3. Regner, B. M., D ...