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Which of these values used to find \((\frac{\partial \rho}{\partial t})_{i,j}^{av}\) is a predicted one?(a) \((\frac{\partial\rho}{\partial t})_{i,j}^t\)(b) Neither \((\frac{\partial\rho}{\partial t})_{i,j}^t nor (\frac{\partial\rho}{\partial t})_{i,j}^{t+\Delta t}\)(c) \((\frac{\partial\rho}{\partial t})_{i,j}^{t+\Delta t}\)(d) Both \((\frac{\partial\rho}{\partial t})_{i,j}^t and (\frac{\partial\rho}{\partial t})_{i,j}^{t+\Delta t}\)I had been asked this question at a job interview.My enquiry is from Finite Difference Methods in division Finite Difference Methods of Computational Fluid Dynamics |
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Answer» RIGHT ANSWER is (C) \((\frac{\partial\RHO}{\partial t})_{i,j}^{t+\Delta t}\) Easiest explanation: \((\frac{\partial\rho}{\partial t})_{i,j}^{t+\Delta t}\) is predicted using the continuity equation and the value of \(\rho_{i,j}^{t+\Delta t}\) in the process of finding \((\frac{\partial \rho}{\partial t})_{i,j}^{av}\). The continuity equation is used as we NEED the time rate of change of density. |
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