Research On Software Design Mode For Multi Physical Coupling Simulation Of Electric Heating

Electro-thermal multi-physical coupling refers to the physical phenomenon formed by the interaction of multiple fields,mainly electric field and temperature field.This kind of physical phenomenon widely exists in the operation process of integrated circuits.Especially with the development of integrated circuit design and manufacturing technology towards three-dimensional system-level packaging and heterogeneous integration,the power density increases significantly,the thermal and stress reliability problems become more prominent,and the mutual coupling and influence with electromagnetic problems become the core factors that affect and restrict the circuit performance and reliability.Therefore,electrothermal multi-physical coupling analysis is one of the core links in large-scale integrated circuit design.The electrothermal multi-physical coupling simulation parallel software is a kind of high-end software which relies on parallel computers and adopts numerical calculation method to simulate and analyze the electrothermal multi-physical coupling effect.In the design of large-scale integrated circuits in microelectronics,numerical simulation based on such software can replace a large number of physical experiments,and is the key to improve product performance,save manufacturing costs and shorten research and development cycle.However,the design of large-scale integrated circuits needs to consider a variety of process conditions and complex physical mechanisms,involving various types of electro-thermal multi-physical coupling effects such as electro-thermal,electro-thermal-force,and various analysis types such as static,transient,and time harmonic.Facing such diverse engineering applications,it is a challenging problem to quickly develop various electrothermal multi-physical coupling simulation parallel software to meet different analysis requirements.Based on the idea of software reuse and facing the software engineering challenge of rapidly developing diversified multi-physical coupling parallel software,this paper takes the numerical simulation of electrothermal multi-physical coupling as the breakthrough point,and carries out the research on the software design pattern of electrothermal multi-physical coupling numerical simulation,and obtains the following research results:(1)A reuse-oriented component-based design model of mathematical equations and a new method for developing parallel software of electrothermal multi-physical coupling based on the component assembly coupling calculation process of equations are proposed.The method can support users to quickly develop electrothermal multi-physical coupling parallel software without knowing the numerical solution algorithm of a single physical field and its parallel implementation,and only need to compile a small number of coupling calculation codes based on operator splitting in series.(2)According to the above method,based on the framework of jaumin,three reusable parallel solving components of mathematical equations are developed,which are current continuity equation parallel solving component,vector electric field wave equation parallel solving component and steady-state heat balance equation parallel solving component.The three components shield the users from the parallel solution of the corresponding equations.(3)By reusing the above equation components,two electrothermal multi-physical coupling simulation softwares are realized,and the code reuse rate is over 85%,which verifies the effectiveness of the equation component design mode and the electrothermal multi-physical coupling parallel software development method.