Abstract
A recently introduced NURBS mesh generation method for complex-geometry Isogeometric Analysis (IGA) is applied to building a high-quality mesh for a gas turbine. The compressible flow in the turbine is computed using the IGA and a stabilized method with improved discontinuity-capturing, weakly-enforced no-slip boundary-condition, and sliding-interface operators. The IGA results are compared with the results from the stabilized finite element simulation to reveal superior performance of the NURBS-based approach. Free-vibration analysis of the turbine rotor using the structural mechanics NURBS mesh is also carried out and shows that the NURBS mesh generation method can be used also in structural mechanics analysis. With the flow field from the NURBS-based turbine flow simulation, the Courant number is computed based on the NURBS mesh local length scale in the flow direction to show some of the other positive features of the mesh generation framework. The work presented further advances the IGA as a fully-integrated and robust design-to-analysis framework, and the IGA-based complex-geometry flow computation with moving boundaries and interfaces represents the first of its kind for compressible flows.
Highlights
The designs of commercial and military vehicles are continuously improved to deliver increased performance
In incompressible-flow moving boundaries and interfaces (MBI) computations the arbitrary Lagrangian–Eulerian (ALE) is quite often used with residual-based stabilized methods, with the most notable ones being the streamline-upwind/Petrov– Galerkin (SUPG) [5], pressure-stabilizing/Petrov–Galerkin (PSPG)1 [6] and residual-based variational multiscale (RBVMS) [13,14,15,16] methods
A comparison between the Isogeometric Analysis (IGA) and finite element simulations of the gas turbine stage shows that the non-uniform rational B-splines (NURBS) mesh generation method, which is as easy to use as a block-structured mesh generation method in finite volume or finite element analysis, enables higher-order and higher-continuity representation and superior accuracy
Summary
The designs of commercial and military vehicles are continuously improved to deliver increased performance. The ALE-VMS has two more stabilization terms beyond those in the ALE-SUPS, and the additional terms give the method better turbulence modeling features To increase their scope and accuracy, the ALE-VMS and RBVMS are often supplemented with special methods, such as those for weakly-enforced Dirichlet boundary conditions [18,19,20], sliding interfaces [21,22] Recent advances in stabilized and multiscale methods may be found for stratified incompressible flows in [73] and for divergence-conforming discretizations of incompressible flows in [74]
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