Write the finite difference formulas for the nonlinear term of the (x)-momentum equation for a two-dimensional flow
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 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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