Vectorization of the Odd-Even Hopscotch Scheme and the Alternating Direction Implicit Scheme for the Two-Dimensional Burgers Equations

A vectorized version of the odd–even hopscotch (OEH) scheme and the alternation direction implicit (ADI) scheme have been implemented on vector computers for solving the two-dimensional Burgers equations on a rectangular domain. This paper examines the efficiency of both schemes on vector computers. Data structures and techniques employed in vectorizing both schemes are discussed, accompanied by performance details.