Aerodynamic Optimization Design of Multi-stage Turbine Using the Continuous Adjoint Method
-
Lei Chen
and
Jiang Chen
Abstract
This paper develops a continuous adjoint formulation for the aerodynamic shape design of a turbine in a multi-stage environment based on S2 surface governed by the Euler equations with source terms. First, given the general expression of the objective function, the adjoint equations and their boundary conditions are derived by introducing the adjoint variable vectors. Then, the final expression of the objective function gradient only includes the terms pertinent to the physical shape variations. The adjoint system is solved numerically by a finite-difference method with the Jameson spatial scheme employing first and third order dissipative flux and the time-marching is conducted by Runge-Kutta time method. Integrating the blade stagger angles, stacking lines and passage perturbation parameterization with the Quasi-Newton method of BFGS, a gradient-based aerodynamic optimization design system is constructed. Finally, the application of the adjoint method is validated through the blade and passage optimization of a 2-stage turbine with an objective function of entropy generation. The efficiency increased by 0.37% with the deviations of the mass flow rate and the pressure ratio within 1% via the optimization, which demonstrates the capability of the gradient-based system for turbine aerodynamic design.
©2015 by De Gruyter
Articles in the same Issue
- Frontmatter
- Lean Blow-out Studies in a Swirl Stabilized Annular Gas Turbine Combustor
- Effect of Fuel Particle Size on the Stability of Swirl Stabilized Flame in a Gas Turbine Combustor
- Design Optimization of a Centrifugal Fan with Splitter Blades
- Influence of Additional Leading-Edge Surface Roughness on Performances in Highly Loaded Compressor Cascade
- Virtual Turbine Engine Test Bench Using MGET Test Device
- Gas Turbine Fault Diagnosis Using Probabilistic Neural Networks
- Vibration Characteristics of Squeeze Film Damper during Maneuver Flight
- Aerodynamic Optimization Design of Multi-stage Turbine Using the Continuous Adjoint Method
- A Target Indirect Thrust Measurement Method of Pulse Detonation Engine
- Research on Modeling of Propeller in a Turboprop Engine
Articles in the same Issue
- Frontmatter
- Lean Blow-out Studies in a Swirl Stabilized Annular Gas Turbine Combustor
- Effect of Fuel Particle Size on the Stability of Swirl Stabilized Flame in a Gas Turbine Combustor
- Design Optimization of a Centrifugal Fan with Splitter Blades
- Influence of Additional Leading-Edge Surface Roughness on Performances in Highly Loaded Compressor Cascade
- Virtual Turbine Engine Test Bench Using MGET Test Device
- Gas Turbine Fault Diagnosis Using Probabilistic Neural Networks
- Vibration Characteristics of Squeeze Film Damper during Maneuver Flight
- Aerodynamic Optimization Design of Multi-stage Turbine Using the Continuous Adjoint Method
- A Target Indirect Thrust Measurement Method of Pulse Detonation Engine
- Research on Modeling of Propeller in a Turboprop Engine
