Hybrid geometry trimming algorithm based on Integer Linear Programming for fluid flow topology optimization

Author(s)

Moscatelli, Eduardo ; de Sa, Luis Fernando Nogueira ; Ranjbarzadeh, Shahin ; Picelli, Renato ; Gioria, Rafael dos Santos ; Silva, Emilio Carlos Nelli

• Document type: Journal article
• Source: COMPUTERS & FLUIDS; v. 244, p. 14-pg., 2022-06-30.

Abstract

In this work, a hybrid geometry trimming algorithm based on Topology Optimization of Binary Structures (TOBS) is proposed to design fluid flow devices with reduced seepage. The problem of solid reintroduction during optimization is solved by combining the geometry trimmed functional with the extended porous domain functional in a multi-objective function. The method is evaluated in the topology optimization of fixed-geometry fluidic diodes, which is a class of problems known to present difficulties related to high fluid penetration in the porous regions. Also, a new convergence criterion for TOBS is proposed to eliminate the necessity of selecting a convergence tolerance and to avoid running the optimization for cycles of the same designs. Fluidic diodes are designed for several Reynolds numbers (Re) to prove the effectiveness of the proposed formulation. The forward problem is solved by the Finite Element Method (FEM), and the sensitivities are calculated via automatic differentiation. The optimization problem is solved by Integer Linear Programming. (AU)

• 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: 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: 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: 18/11474-7 - Topology optimization of labyrinth seals for CO2 compressor application
• Grantee: Shahin Ranjbarzadeh
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• FAPESP's process: 21/02340-0 - Topology optimization to design labyrinth seals considering turbulent flow and fluid-structure interaction with binary variables
• Grantee: Eduardo Moscatelli de Souza
• Support Opportunities: Scholarships in Brazil - Doctorate
• 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
• 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