plz solve these problem with full working soltion

Question 1: The two-dimensional time-averaged x-momentum equation, with the eddy viscosity approximation for the Reynolds stress terms, is, VO (u and v are the time averaged velocities) Assuming the velocity v is posi tive, write this equation in discrete finite difference form using o First-order forwards explicit in time. Second-order central in space for the x advection term o First-order upwind in space for the y advection term Second-order central in space for all other terms Question 2 Write pseudo-code for integrating the above equation in time, ignore bound- ary conditions and initial conditions, include a test for steady-state Question 3: What are the approximate stability limits that would apply to this scheme Do not attempt to calculate using Von-Neuman method, use results given in notes to estimate Question 4: Given that the velocity field u satisfies the relation and using tensor notation, show that the velocity field ua satisfies the continuity equation