+1 vote
in Finite Element Method by (110k points)
If a governing equation represents volume change in an element, then the weight function in its weak form must be like a force that causes the volume change.

(a) True

(b) False

This question was addressed to me by my college director while I was bunking the class.

I need to ask this question from Velocity in division Flows of Viscous Incompressible Fluids of Finite Element Method

1 Answer

+2 votes
by (185k points)
selected by
 
Best answer
Correct choice is (a) True

The explanation is: The governing equation \(\frac{\partial v_x}{\partial y}+\frac{\partial v_y}{\partial x}\) represents the volume change in an element of dimensions dx and dy. Therefore, the weight function (w) in its weak form must be like a force that causes the volume change. Volume changes occur under the action of hydrostatic pressure, hence w=-P.

Related questions

We welcome you to Carrieradda QnA with open heart. Our small community of enthusiastic learners are very helpful and supportive. Here on this platform you can ask questions and receive answers from other members of the community. We also monitor posted questions and answers periodically to maintain the quality and integrity of the platform. Hope you will join our beautiful community
...