In quasi-steady-state creeping flow it is possible to combine the mass conservation equation and the momentum equation to generate a new equation in terms of the stream function Y: (V*y = 0). Here, V* is called the biharmonic operator. In cartesian coordinate, this operator is defined at az +2- ax Derive a second order central difference discretization of the biharmonic equation.
In quasi-steady-state creeping flow it is possible to combine the mass conservation equation and the momentum equation to generate a new equation in terms of the stream function Y: (V*y = 0). Here, V* is called the biharmonic operator. In cartesian coordinate, this operator is defined at az +2- ax Derive a second order central difference discretization of the biharmonic equation.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 70EQ
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