Question

Centre differencing scheme for 1d steady state convection and diffusion

Answer 1

Answer:

Explanation:

the central differencing scheme is a finite difference method. The finite difference method optimizes the approximation for the differential operator in the central node of the considered patch and provides numerical solutions to differential equations.[1] The central differencing scheme is one of the schemes used to solve the integrated convection-diffusion equation and to calculate the transported property Φ at the e and w faces. The advantages of this method are that it is easy to understand and to implement, at least for simple material relations, and that its convergence rate is faster than some other finite differencing methods, such as forward and backward differencing.