Second-order explicit finite-difference methods for transient-flow analysisThree second-order accurate numerical methods - MacCormack's method, Lambda scheme and Gabutti scheme - are introduced to solve the quasi-linear, hyperbolic partial differential equations describing transient flows in closed conduits. The details of these methods and the treatment of boundary conditions are presented and the results computed by using these methods for a typical piping system are compared. It is shown that for the same accuracy, second-order methods require considerably lesser number of computational nodes and computer time as compared to those required by the first-order methods.
Document ID
19840030448
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Chaudhry, M. H. (Old Dominion University Norfolk, VA, United States)
Hussaini, M. Y. (NASA Langley Research Center; Institute for Computer Applications in Science and Engineering Hampton, VA, United States)