# CAN YOU FIND JACOBIAN ?????

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 August 24, 1999, 08:28 CAN YOU FIND JACOBIAN ????? #1 Yogesh Talekar Guest   Posts: n/a Sponsored Links Gurus, I have a set a 1-D flow given in a book "Computaional Flud Dynamics" by John D. Anderson page number 339, dU1/dt = - dF1/dx dU2/dt = -dF2/dx + J2 and dU3/dt = - dF3/dx Where, 'd' above means "partial derivative". U1 = (Rho) * A U2 = Rho * A * v U3 = Rho * (e/gamma -1 + gamma/2 * v^2) * A F1 = Rho * v * A F2 = Rho * A * v^2 + 1/gamma * p * A F3 = Rho * (e/gamma-1 + gamma/2 * v^2) * v*A + p * A *v J2 = 1/gamma * p * dA/dx Where v is velocity and A is area is function of x. Can you find the jacobian of 'dF/dU's as per the procedure given on pages 482-487 of the above book. Please help YOgesh

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