FDM and FVM - Diffusion Problem

Match the above terms

• (i)-(a), (ii)-(c), (iii)-(d), (iv)-(b)

• (i)-(c), (ii)-(d), (iii)-(a), (iv)-(b)

• (i)-(b), (ii)-(c), (iii)-(d), (iv)-(a)

• (i)-(b), (ii)-(a), (iii)-(d), (iv)-(c)

The order of accuracy of central difference scheme for the given partial derivative term

• 1st order accuracy

• 2nd order accuracy

• 3rd order accuracy

• 4th order accuracy

The order of accuracy of the finite difference scheme shown here is

• 1st order accurate

• 2nd order accurate

• 3rd order accurate

Which of the following finite difference scheme has second order accuracy?

• forward difference scheme

• backward difference scheme

• central difference scheme

The finite difference scheme shown here for the mixed partial derivative is

• 3rd order accurate

• 4th order accurate

• 2nd order accurate

Which of the following is not true for higher order accurate finite difference scheme?

• Includes more grid points

• requires less computational time

• results in high quality solution

• none of the above

Give the name of the approach in which only one unknown is present in the discretized equation.

(a)  

Which of the following approach is relatively simple to setup and program?

• Explicit approach

• Implicit approach

For a stable solution, the value of the stability criteria must be

• less than 1

• greater than 1

• less than or equal to 1

• less than or equal to 0.5

Draw the 1D grid for finite volume method.