A historical oversight: Vladimir P. Kolgan and his high-resolution scheme
The Russian landmark paper Application of the principle of minimizing the derivative to the construction of finite-difference schemes for computing discontinuous solutions of gas dynamics by Vladimir P. Kolgan is discussed in a historicaltechnical perspective. The 1972 paper already featured a Godunov-type scheme for the Euler equations with second-order spatial accuracy, and a limiter to make it monotonicity-preserving. The work remained little known within and completely unknown outside the USSR, largely because of Kolgans untimely death in 1978. To honor Kolgans contribution to CFD, an English translation of his paper is included in this issue of the Journal of Computational Physics. Facts about Kolgans life are presented here, and an appraisal is given of the originality of his ideas.
high-resolution schemes euler equations limiters history of computational fluid dynamics godunov-type methods second-order methods non-oscillatory schemes