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Nonlinear Transient Term

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July 17, 2019, 17:35	Nonlinear Transient Term	#1
Onurb New Member Bruno Join Date: Jul 2018 Posts: 6 Rep Power: 8	Hello, I would like to solve one equations system as follows: $\frac{\partial \phi_1}{\partial t}$ + $\nabla$ $\cdot$ ( $\textbf{v} \phi_1$ ) = 0 (Eq. 1) $\frac{\partial (\phi_1 \phi_2 + f(\phi_2))}{\partial t}$ + $\nabla$ $\cdot$ ( $\textbf{v} \phi_2$ ) = 0 (Eq. 2) where $f(\phi_1)$ is a nonlinear function (e.g. $f(\phi_2) = \phi_2 e^{\phi_2}$ ). How may I implement this system in the OpenFOAM. My main problem is handling the nonlinear term. Can I write this piece of code: Solve ( fvm::ddt(phi_1) + fvc::div(v,phi_1) ); Solve ( fvm::ddt(phi_1phi_2+f(phi_2)) + fvc::div(v,phi_2) ); or Solve ( fvm::ddt(phi_1phi_2) + fvm::ddt(f(phi_2)) + fvc::div(v,phi_2) ); I assumed the velocity field is known. Thanks in advance.

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implementing new solver, nonlinear terms, system coupling

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