Third order derivative: Gradient of laplacian

hrushi.397 · August 7, 2013, 06:55

For one of my applications, I have to solve an equation which has third order derivative of certain volume scalar field. Is it possible to do that as a gradient of laplacian in openfoam?

Thanks and regards,

Hrushikesh

ajayb · April 17, 2024, 12:59

Hello all,

I think my post best fits it in this thread.

I want to solve Westervelt equation (only the linear part) in OpenFOAM, which consists of third order time derivate of pressure (scalar quantity).

By far i know that OpenFOAM has d2dt2 scheme for discretizing second order time derivative.

Can anybody help with the discretization strategy of third order time derivate. How to do it and the syntax?

August 7, 2013, 06:55	Third order derivative: Gradient of laplacian	#1
hrushi.397 Member Hrushi Join Date: Jan 2013 Posts: 58 Rep Power: 13	For one of my applications, I have to solve an equation which has third order derivative of certain volume scalar field. Is it possible to do that as a gradient of laplacian in openfoam? Thanks and regards, Hrushikesh

April 17, 2024, 12:59	Syntax to write finite volume discretization of third order derivate	#2
ajayb New Member Ajay Bhandari Join Date: Apr 2024 Posts: 1 Rep Power: 0	Hello all, I think my post best fits it in this thread. I want to solve Westervelt equation (only the linear part) in OpenFOAM, which consists of third order time derivate of pressure (scalar quantity). By far i know that OpenFOAM has d2dt2 scheme for discretizing second order time derivative. Can anybody help with the discretization strategy of third order time derivate. How to do it and the syntax?

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