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# Tag Info

## Hot answers tagged coupling

### Modelling question: example of a physical phenomenon with this jump condition at an interface?

$\vec\Phi = K_i \nabla u_i$ is the flux across the interface. For example, if $u$ is the thermal energy density and $K$ the thermal conductivity, then $\vec\Phi$ is the thermal energy flux. Energy ...
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### Modelling question: example of a physical phenomenon with this jump condition at an interface?

In addition to Wolfgang Bangerth's explanation of temperature and concentration, let me give an other application where such interface conditions arise: (linear) elasticity, which has a similar ...
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Accepted

### Methods of solving non-linear advection-diffusion systems beyond Newton-Raphson?

I'm assuming the limitation in 2D and 3D is storing the Jacobian. One option is to retain the time derivatives and use an explicit "pseudo" time-stepping to iterate to steady state. Normally the CFL ...
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1 vote

### Numerical methods for coupled stiff PDEs

The first step is to add one more equation defined as: $$\frac{\partial y_3}{\partial t} = v$$ Then if you substitute equations 1 and 2 and the new equation into your modified equation 3 you get: ...
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1 vote

### Coupling Boundary Condition of one PDE with source term of another PDE

As written, it's not clear to me that it's actually fully coupled. That is, the solution to $B$ depends (via its BC2) on the solution to $a$, but assuming $\omega$ is simply some specified function of ...
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1 vote

### Methods of solving non-linear advection-diffusion systems beyond Newton-Raphson?

From my experience with Navier-Stokes equations, one can do very well without fully implicit schemes. If you just want a fast numerical scheme for the solution of the time evolution, take a look at ...
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