Topology optimization for stationary fluid-structure interaction problems with turbulent flow via sequential integer linear programming and smooth explicit boundaries

Author(s)

Siqueira, Lucas O. ; Cortez, Romulo L. ; Sivapuram, Raghavendra ; Ranjbarzadeh, Shahin ; Gioria, Rafael dos S. ; Silva, Emilio C. N. ; Picelli, Renato

• Document type: Journal article
• Source: ADVANCES IN ENGINEERING SOFTWARE; v. 190, p. 20-pg., 2024-02-07.

Abstract

Topology optimization methods face serious challenges when applied to structural design with fluid-structure interaction (FSI) loads, especially for high Reynolds fluid flow, i.e., considering turbulence. In this problem, the information at the fluid-structure interface is crucial for the modeling and convergence of the turbulent fluid flow analysis. This paper devises a new explicit boundary method that generates two- and three-dimensional smooth surfaces to be used in topology optimization with binary {0,1} design variables. A phase-field function is obtained after nodal spatial filtering of the design variables. The 0.5 isoline defines a smooth surface to construct the topology. The FSI problem can then be modeled with accurate physics and explicitly defined regions. The Finite Element Method is used to solve the fluid and structural domains. This is the first work to consider a turbulent flow in the fluid-structure topology optimization framework. The fluid flow is solved considering the ������ - ������ turbulence model including standard wall functions at the fluid and fluid-structure boundaries. The structure is considered to be linearly elastic. Semi-automatic differentiation is employed to compute sensitivities and the optimization problem is solved via sequential integer linear programming. Results show that the proposed methodology is able to provide structural designs with smooth boundaries considering loads from low and high Reynolds flow. (AU)

• FAPESP's process: 20/15230-5 - Research Centre for Greenhouse Gas Innovation - RCG2I
• Grantee: Julio Romano Meneghini
• Support Opportunities: Research Grants - Research Centers in Engineering Program
• FAPESP's process: 21/05930-2 - Design and Assessment of the Strength of Labyrinth Seals via Fluid-Structure Topology Optimization
• Grantee: Lucas Oliveira Siqueira
• Support Opportunities: Scholarships in Brazil - Doctorate
• FAPESP's process: 18/05797-8 - Addressing design challenges of offshore structures via Multiphysics topology optimization
• Grantee: Renato Picelli Sanches
• Support Opportunities: Research Grants - Young Investigators Grants
• FAPESP's process: 19/01685-3 - Addressing Design Challenges of Offshore Structures via Multiphysics Topology Optimization
• Grantee: Renato Picelli Sanches
• Support Opportunities: Scholarships in Brazil - Young Researchers
• FAPESP's process: 14/50279-4 - Brasil Research Centre for Gas Innovation
• Grantee: Julio Romano Meneghini
• Support Opportunities: Research Grants - Research Centers in Engineering Program
• FAPESP's process: 13/24434-0 - Electromagnetic propeller systems for implantable artificial heart and mechanical circulatory support devices
• Grantee: José Roberto Cardoso
• Support Opportunities: Research Projects - Thematic Grants