Multigrid Solution of the Convection-Diffusion Equation
                  with High-Reynolds Number

                        Jun Zhang

                 Department of Mathematics 
              The George Washington University 
                    Washington, DC 20052

             Email address: zhang@math.gwu.edu.

                        March 10, 1996


                           Abstract 


A fourth-order compact finite difference scheme is employed with 
the multigrid technique to solve the variable coefficient 
convection-diffusion equation with high-Reynolds number. Scaled 
inter-grid transfer operators and potential on vectorization and
parallelization are discussed. The high-order multigrid method 
is unconditionally stable and produces solution of 4th-order 
accuracy. Numerical experiments with highly convective problems
are included to show the stability and efficiency of the 
proposed method.