Question # 4 Consider the following 1-D Euler equation: дф диф dt + дх = 0 Where is the property and u is the velocity If the initial condition is (x, t= 0) = 1.5 exp(-4x) for 0≤ x ≤ 1, Assuming a periodic boundary condition: (0,t) = $(1,t) Formulate a numerical method using finite volume using Upwind scheme for the flux, and 4 stage Rung Kutta explicit scheme Suggestion: Nx = 50 and 0 ≤ t ≤5 Write a simple MATLAB code to simulate the convection of the property
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Question # 4 Consider the following 1-D Euler equation: дф диф dt + дх = 0 Where is the property and u is the velocity If the initial condition is (x, t= 0) = 1.5 exp(-4x) for 0≤ x ≤ 1, Assuming a periodic boundary condition: (0,t) = $(1,t) Formulate a numerical method using finite volume using Upwind scheme for the flux, and 4 stage Rung Kutta explicit scheme Suggestion: Nx = 50 and 0 ≤ t ≤5 Write a simple MATLAB code to simulate the convection of the property
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