How is the value $(\frac{\partial \rho}{\partial t})_{i,j}^{av}$ obtained in the MacCormack’s expansion to find $\rho_{i,j}^{t+\Delta t}$?

Question

TuteeHUB · Accepted Answer

NA

TuteeHUB · Answer

Truncated mean of $(\frac{\partial\rho}{\partial t})_{i,j}^t and (\frac{\partial\rho}{\partial t})_{i,j}^{t+\Delta t}$

TuteeHUB · Answer

Weighted average of $(\frac{\partial\rho}{\partial t})_{i,j}^t and (\frac{\partial\rho}{\partial t})_{i,j}^{t+\Delta t}$

TuteeHUB · Answer

Geometric mean of $(\frac{\partial\rho}{\partial t})_{i,j}^t and (\frac{\partial\rho}{\partial t})_{i,j}^{t+\Delta t}$

TuteeHUB · Answer

Arithmetic mean of $(\frac{\partial\rho}{\partial t})_{i,j}^t and (\frac{\partial\rho}{\partial t})_{i,j}^{t+\Delta t}$

1.	How is the value \((\frac{\partial \rho}{\partial t})_{i,j}^{av}\) obtained in the MacCormack’s expansion to find \(\rho_{i,j}^{t+\Delta t}\)?
A.	Truncated mean of \((\frac{\partial\rho}{\partial t})_{i,j}^t and (\frac{\partial\rho}{\partial t})_{i,j}^{t+\Delta t}\)
B.	Weighted average of \((\frac{\partial\rho}{\partial t})_{i,j}^t and (\frac{\partial\rho}{\partial t})_{i,j}^{t+\Delta t}\)
C.	Geometric mean of \((\frac{\partial\rho}{\partial t})_{i,j}^t and (\frac{\partial\rho}{\partial t})_{i,j}^{t+\Delta t}\)
D.	Arithmetic mean of \((\frac{\partial\rho}{\partial t})_{i,j}^t and (\frac{\partial\rho}{\partial t})_{i,j}^{t+\Delta t}\)
Answer» E.

How is the value \((\frac{\partial \rho}{\partial t})_{i,j}^{av}\) obtained in the MacCormack’s expansion to find \(\rho_{i,j}^{t+\Delta t}\)?