Optimal mesh generation for a non-iterative grid-converged solution of flow through a blade passage using deep reinforcement learning

Abstract

An automatic mesh generation method for optimal computational fluid dynamics (CFD) analysis of a blade passage is developed using deep reinforcement learning (DRL). Unlike conventional automation techniques, which require repetitive tuning of meshing parameters for each new geometry and flow condition, the method developed herein trains a mesh generator to determine optimal parameters across varying configurations in a non-iterative manner. Initially, parameters controlling mesh shape are optimized to maximize geometric mesh quality, as measured by the ratio of determinants of Jacobian matrices and skewness. Subsequently, resolution-controlling parameters are optimized by incorporating CFD results. Multi-agent reinforcement learning is employed, enabling 256 agents to construct meshes and perform CFD analyses across randomly assigned flow configurations in parallel, aiming for maximum simulation accuracy and computational efficiency within a multi-objective optimization framework. After training, the mesh generator is capable of producing meshes that yield converged solutions at desired computational costs for new configurations in a single simulation, thereby eliminating the need for iterative CFD procedures for grid convergence. The robustness and effectiveness of the method are investigated across various blade passage configurations, accommodating a range of blade geometries, including high-pressure and low-pressure turbine blades, axial compressor blades, and impulse rotor blades. Furthermore, the method is capable of identifying the optimal mesh resolution for diverse flow conditions, including complex phenomena like boundary layers, shock waves, and flow separation. The optimality is confirmed by comparing the accuracy and the efficiency achieved in a single attempt with those from the conventional iterative optimization method.

arXiv comment65 pages, 24 figures, and 1 table

References in corpus (8)

• Addressing Function Approximation Error in Actor-Critic Methods
• RANS Turbulence Model Development using CFD-Driven Machine Learning
• Effective control of two-dimensional Rayleigh--Bénard convection: invariant multi-agent reinforcement learning is all you need
• Reinforcement learning for automatic quadrilateral mesh generation: a soft actor-critic approach
• Multi-condition multi-objective optimization using deep reinforcement learning
• Multi-fidelity reinforcement learning framework for shape optimization
• Swarm Reinforcement Learning For Adaptive Mesh Refinement
• Active flow control for drag reduction through multi-agent reinforcement learning on a turbulent cylinder at $R{e}_D=3900$