Off topic Optimization of a finite volume differencing

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Off topic - Optimization of a finite volume differencing scheme for multispecies transport problem

Author: bouloumag
Date: Jul 31, 2008 17:49

I am working on a 3d finite volume scheme for an advection-diffusion-
reaction problem involving a large number of chemical species (more
than 60) and a large domain (an big lake for example). Since this
scheme will be used on large problem, I want it to be as efficient as
possible. The linear operators are splitted in 2 :

(1) advection-diffusion is solved using a fully implicit finite volume
discretisation with a multigrid method for solving the linear system
of equations
(2) chemistry is solved using a Runge-Kutta-Rosenbrock solver for
stiff ODE.

The transport (1) actually have the following form

do specie=1, nbSpecies
call construct_matrix(specie)
call solve_linear_system(specie)
end do

and takes a lot of time on the computer.

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Re: Off topic - Optimization of a finite volume differencing scheme for multispecies transport problem

Author: Rich Townsend
Date: Jul 31, 2008 19:18

bouloumag@gmail.com wrote:

> I am working on a 3d finite volume scheme for an advection-diffusion-
> reaction problem involving a large number of chemical species (more
> than 60) and a large domain (an big lake for example). Since this
> scheme will be used on large problem, I want it to be as efficient as
> possible. The linear operators are splitted in 2 :
>
> (1) advection-diffusion is solved using a fully implicit finite volume
> discretisation with a multigrid method for solving the linear system
> of equations
> (2) chemistry is solved using a Runge-Kutta-Rosenbrock solver for
> stiff ODE.
>
> The transport (1) actually have the following form
>
> do specie=1, nbSpecies
> call construct_matrix(specie)
> call solve_linear_system(specie)
> end do
> ...

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Re: Off topic - Optimization of a finite volume differencing scheme for multispecies transport problem

Author: stephane.gaudreault
Date: Jul 31, 2008 21:07

On 31 juil, 22:18, Rich Townsend barVOIDtol.udel.edu> wrote:

> boulou...@gmail.com wrote:

>> I am working on a 3d finite volume scheme for an advection-diffusion-
>> reaction problem involving a large number of chemical species (more
>> than 60) and a large domain (an big lake for example). Since this
>> scheme will be used on large problem, I want it to be as efficient as
>> possible. The linear operators are splitted in 2 :

>> (1) advection-diffusion is solved using a fully implicit finite volume
>> discretisation with a multigrid method for solving the linear system
>> of equations
>> (2) chemistry is solved using a Runge-Kutta-Rosenbrock solver for
>> stiff ODE.

>> The transport (1) actually have the following form

>> do specie=1, nbSpecies
>> call construct_matrix(specie)
>> call solve_linear_system(specie)
>> end do ...

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Re: Off topic - Optimization of a finite volume differencing scheme for multispecies transport problem

Author: mrestelli
Date: Aug 1, 2008 00:52

On Aug 1, 4:18 am, Rich Townsend barVOIDtol.udel.edu> wrote:

> boulou...@gmail.com wrote:

>> The transport (1) actually have the following form

>> do specie=1, nbSpecies
>> call construct_matrix(specie)
>> call solve_linear_system(specie)
>> end do ...

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Re: Off topic - Optimization of a finite volume differencing scheme for multispecies transport problem

Author: fj
Date: Aug 1, 2008 03:29

On 1 août, 09:52, "mreste...@gmail.com" gmail.com> wrote:

> On Aug 1, 4:18 am, Rich Townsend barVOIDtol.udel.edu> wrote:
>
>
>

>> boulou...@gmail.com wrote:

>>> I am working on a 3d finite volume scheme for an advection-diffusion-
>>> reaction problem involving a large number of chemical species (more
>>> than 60) and a large domain (an big lake for example). Since this
>>> scheme will be used on large problem, I want it to be as efficient as
>>> possible. The linear operators are splitted in 2 :

>>> (1) advection-diffusion is solved using a fully implicit finite volume
>>> discretisation with a multigrid method for solving the linear system
>>> of equations
>>> (2) chemistry is solved using a Runge-Kutta-Rosenbrock solver for
>>> stiff ODE.

>>> The transport (1) actually have the following form

> ...

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Re: Off topic - Optimization of a finite volume differencing scheme for multispecies transport problem