Which of these equations is the discretized form of the transient term using the first-order implicit Euler scheme?

\(\frac{(\rho_C\phi_C)^t+(\rho_C\phi_C)^{t+\Delta t}}{\Delta t} V_C+L(\phi_C^t)\)

\(\frac{(\rho_C\phi_C)^t-(\rho_C\phi_C)^{t+\Delta t}}{\Delta t} V_C+L(\phi_C^t)\)

\(\frac{(\rho_C\phi_C)^t-(\rho_C\phi_C)^{t-\Delta t}}{\Delta t} V_C+L(\phi_C^t)\)

\(\frac{(\rho_C\phi_C)^t+(\rho_C\phi_C)^{t+\Delta t}}{\Delta t} V_C+L(\phi_C^t)\)

\(\frac{(\rho_C\phi_C)^t+(\rho_C\phi_C)^{t-\Delta t}}{\Delta t} V_C+L(\phi_C^t)\)

Which of these equations is the discretized form of the transient ter

1.	Which of these equations is the discretized form of the transient term using the first-order implicit Euler scheme?
A.	\(\frac{(\rho_C\phi_C)^t-(\rho_C\phi_C)^{t+\Delta t}}{\Delta t} V_C+L(\phi_C^t)\)
B.	\(\frac{(\rho_C\phi_C)^t-(\rho_C\phi_C)^{t-\Delta t}}{\Delta t} V_C+L(\phi_C^t)\)
C.	\(\frac{(\rho_C\phi_C)^t+(\rho_C\phi_C)^{t+\Delta t}}{\Delta t} V_C+L(\phi_C^t)\)
D.	\(\frac{(\rho_C\phi_C)^t+(\rho_C\phi_C)^{t-\Delta t}}{\Delta t} V_C+L(\phi_C^t)\)
Answer» C. \(\frac{(\rho_C\phi_C)^t+(\rho_C\phi_C)^{t+\Delta t}}{\Delta t} V_C+L(\phi_C^t)\)

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Which of these equations is the discretized form of the transient term using the first-order implicit Euler scheme?

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