Mathematical Modeling of Multiphysics Coupled Systems—Models, Algorithms, and Scalable Computing

 Organizer(s):
Name:
Affiliation:
Country:
Yifan Wang
Texas Tech University
USA
Haibiao Zheng
East China Normal University
Peoples Rep of China
Yizhong Sun
Hong Kong Baptist University
Peoples Rep of China
 Introduction:  
  Whether we are modeling lab-on-a-chip microfluidics, tracking micro-plastics in the bloodstream, optimizing offshore wind-turbine aerodynamics, or simulating plasma behavior in fusion reactors, we encounter the same multiphysics challenge: viscous flow, electro-osmosis, particulate or solute transport, biochemical reactions, aerodynamic or magnetic loads, structural deformation, and thermal exchange are entangled in tight feedback loops. These diverse applications share a core challenge: solving nonlinear and strongly coupled system of partial differential equations with rigorously quantified uncertainty. This special session will unite mathematicians, computational scientists, and engineers to advance the state of the art in model formulation, algorithm design, and scalable implementation for multiphysics PDEs. Topics include monolithic and partitioned time- integration, physics-aware preconditioners, reduced-order and surrogate modeling, and open-source ecosystems for multiphysics simulations that foster reproducibility. By exchanging best practices and spotlighting pressing engineering problems, participants will identify common bottlenecks, spark collaborations, and outline a roadmap for next generation multiphysics simulation at exascale.