Abstract: A upwind compact scheme with dispersion regulator is developed and discussed. The scheme developed is dissipative and the dispersion term in the truncation error can be controlled. According to the behaviour of the flow parameters near the shock the scheme with specially chosen control function gives high resolution. The scheme is simple, efficient and the shock can be captured well. The scheme is used to compute the shock reflection problem, and the computed results are satisfactory.

Key words: numerical simulation, shock capturing, compact scheme