Question: Write the finite difference formulas for the nonlinear term of the (x)-momentum equation for a two-dimensional flow discretized on a staggered Cartesian uniform grid. The

Write the finite difference formulas for the nonlinear term of the \(x\)-momentum equation for a two-dimensional flow discretized on a staggered Cartesian uniform grid. The discretization must be of the second order and based on central differences and linear interpolations. Solve the problem for the equation written in:

a) Conservation form

b) Nonconservation form.

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