# Which equation is the correct vector form of the finite element model of momentum and continuity equations in the flow domain?

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Which equation is the correct vector form of the finite element model of momentum and continuity equations in the flow domain?

(a) MΔ+K^11Δ+K^12P=0

(b) MΔ+K^11Δ+K^22P=F^1

(c) MΔ+K^22Δ+K^12P=F^1

(d) MΔ+K^11Δ+K^12P=F^1

I got this question by my college professor while I was bunking the class.

My question comes from Velocity in chapter Flows of Viscous Incompressible Fluids of Finite Element Method

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The correct choice is (d) MΔ+K^11Δ+K^12P=F^1

The explanation is: The equation MΔ+K^11Δ+K^12P=F^1 gives the vector form of the finite element model of momentum and continuity equations in the flow domain, where F is force matrix, M is a mass matrix, K^11is related to velocity term, K^12 is related to the pressure term, P is the pressure matrix, and Δ is the velocity matrix.

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