Abstract: Systems and methods of numerical simulation of FSI using the space-time CE/SE method with a moving space-time fluid mesh coupled to a method of numerically simulating structural mechanics are disclosed. A FSI interface is determined based on fluid domain and structure definitions received in a computer system. Fluid forces acting on the FSI interface are initialized. Simulated structural behaviors are obtained using FEA in response to the received fluid forces at the FSI interface. Structural behaviors include nodal positions on the structure's exterior boundary, which are used for updating the FSI interface of the space-time fluid mesh Inner nodes of the fluid mesh are adjusted accordingly using a user-selected mesh adjustment strategy. Simulated fluid behaviors are obtained by updating fluid solutions using the CE/SE solver with the adjusted fluid mesh. The fluid forces are again applied to the FEA model for obtaining simulated structural behaviors for the next solution cycle.

Abstract: Methods of conducting design optimization of a product using multiple metamodels are described. First and the second metamodels are configured with common kernel function. Kernel width parameter is the output or result of the first metamodel while the second metamodel requires a set of substantially similar kernel width parameters defined a priori. Further, the second metamodel is configured with an anisotropic kernel. First and second metamodels are trained in two stages. In the first stage, kernel width parameters are obtained by fitting known responses (obtained in numerical simulations) into the first metamodel with one or more prediction trends. Additional kernel width parameter set is derived by algebraically combining the obtained kernel width parameters.