A unified variational theory of hybrid problems for fully 3-D transonic rotor-flow with shocks. I: Potential flow
The unified variable-domain variational theory of hybrid problems for rotor-flow is extended to fully three-dimensional transonic rotor-flows with shocks, unifying and generalizing the direct and inverse problems. Three variational principle (VP) families together with a general form of generalized VPs have been established, taking distributed suction and/or blowing along blade- and annular walls into account. All unknown boundaries are successfully handled via functional variations with variable domain, converting almost all boundary and interface conditions, including the Rankine-Hugoniot shock relations, into natural ones. This theory provides a series of novel ways for blade design and a theoretical basis for finite element applications.
scientific article; zbMATH DE number 880761