Nachiketa Mishra
National Institute of Technology, Warangal, India

Exponential compact higher order schemes for steady convection-diffusion type equations
To capture the sharp gradient, in the solution of the stationary Convection-Diffusion Equation (CDE), is still a great challenge, especially when convection dominates the diffusion. The Exponential Compact Higher Order (ECHO) scheme is an efficient scheme developed to capture the boundary layer in the solution and computational cost is very less due to the use of compact stencil. The coefficient matrix associated to the discretized equation satisfies the M-matrix condition which guaranties the non-oscillatory solution. Further, the modified wave number analysis has been made to realize that the obtained numerical solution is how far close to the exact solution. The scheme also formulated for stream-function vorticity formulation of steady Navier-Stokes equations successfully.