An implict LU scheme for the Euler equations applied to arbitrary cascadesAn implicit scheme for solving the Euler equations is derived and demonstrated. The alternating-direction implicit (ADI) technique is modified, using two implicit-operator factors corresponding to lower-block-diagonal (L) or upper-block-diagonal (U) algebraic systems which can be easily inverted. The resulting LU scheme is implemented in finite-volume mode and applied to 2D subsonic and transonic cascade flows with differing degrees of geometric complexity. The results are presented graphically and found to be in good agreement with those of other numerical and analytical approaches. The LU method is also 2.0-3.4 times faster than ADI, suggesting its value in calculating 3D problems.
Document ID
19840035138
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Buratynski, E. K. (Cornell Univ. Ithaca, NY, United States)
Caughey, D. A. (Cornell University Ithaca, NY, United States)