Methods and apparatus for constructing and analyzing component-based models of engineering systems

摘要

Systems, methods, and apparatus for modeling and analyzing a physical system comprising a plurality of components. In some embodiments, a component type of a component of the plurality of components may be used to access a dataset from a plurality of datasets. The dataset may include a representation of at least one partial differential equation. A model of the component may be constructed based at least in part on the accessed dataset and at least one parameter relating to a physical characteristic of the component, and may be used to compute at least one output value based on at least one input value.

主权项

1. A computer-implemented method for modeling and analyzing a physical system comprising a plurality of components, the method comprising acts of:
accessing, based at least in part on a component type of a component of the plurality of components, a dataset from a plurality of datasets, the dataset comprising a representation of at least one partial differential equation, wherein:
the component is an N-dimensional component, N being at least 2,the component comprises an N-dimensional interior region and an (N−1)-dimensional port,the dataset comprises a plurality of basis functions for a reduced basis space associated with an interface function for the (N−1)-dimensional port, anda solution of the at least one partial differential equation represented by the accessed dataset depends on at least two independent spatial variables; constructing a model of the component based at least in part on the accessed dataset and one or more parameters relating to a physical characteristic of the component, the model being an N-dimensional model, wherein constructing an N-dimensional model of the component comprises selecting coefficients for scaling the plurality of basis functions; and using, by at least one processor, the model of the component to compute at least one output value based on at least one input value, wherein the at least one input value is indicative of at least one physical condition under which the physical system is to be evaluated, and the at least one output value is indicative of a behavior of the physical system under the at least one physical condition.