Physical systems governed by advection-dominated partial differential equations (PDEs) are found in applications ranging from engineering design to weather forecasting. They known pose severe challenges both projection-based and non-intrusive reduced order modeling, especially when linear subspace approximations used. In this work, we develop an advection-aware (AA) autoencoder network that can...

A Reduced Order Model (ROM) providing a highly detailed description of the sprinkler spray has been developed for engineering applications. The new ROM approach combines an elegantly parameterized analytical dispersed with tightly integrated high-fidelity initial capable producing complete quantitative map entire field from centerline to edge and ceiling floor. complex is mapped using sparsely ...

We present a novel class of reduced-order regenerator models that is based on Endoreversible Thermodynamics. The rest upon the idea an internally reversible (perfect) regenerator, even though they are not limited to description. In these models, temperatures working gas alternately streams out regenerator’s hot and cold sides defined as functions state matrix. matrix assumed feature linear spat...