BURGERS-EQUATION WITH HIGH REYNOLDS-NUMBER

Burgers' equation, involving very high Reynolds numbers, is numericall y solved by using a new approach based on the distributed approximatin g functional for representing spatial derivatives of the velocity fiel d. For moderately large Reynolds numbers, this simple approach can pro vide very high accuracy while using a small number of grid points. In the case where the Reynolds number greater than or equal to 10(5), the exact solution is not available and a discrepancy exists in the liter ature. Our results clarify the behavior of the solution under these co nditions. (C) 1997 American Institute of Physics.