The Static Condensation Reduced Basis Element Method for a Mixed-Mean Conjugate Heat Exchanger Model
نویسندگان
چکیده
منابع مشابه
The Static Condensation Reduced Basis Element Method for a Mixed-Mean Conjugate Heat Exchanger Model
We propose a new approach for the simulation of conjugate heat exchangers. First, we introduce a dimensionality-reduced mathematical model for conjugate (fluid-solid) heat transfer: in the fluid channels, we consider a mixed-mean temperature defined on one-dimensional filaments; in the solid we consider a detailed partial differential equation conduction representation. We then propose a Petrov...
متن کاملThe Static Condensation Reduced Basis Element Method for Parabolic Problems
We present a new approach for fast, flexible and reliable simulations of parameterdependent parabolic problems with a component-based geometry. The static condensation reduced basis element (SCRBE) is a domain decomposition method with reduced basis (RB) approximation at the intradomain level to populate a Schur complement at the interdomain level. In the Offline stage, for a library of archety...
متن کاملA new certification framework for the port-reduced static condensation reduced basis element method
In this talk we introduce a new certification framework for the port-reduced static condensation reduced basis element (PR-SCRBE) method [1, 3], which has been developed for the simulation of large component based applications such as bridges or acoustic waveguides. In an offline computational stage we construct a library of interoperable parametrized reference components; in the subsequent onl...
متن کاملA Static Condensation Reduced Basis Element approximation: Application to three-dimensional acoustic muffler analysis
We apply the static condensation reduced basis element (scRBE) method to treat the class of parametrized complex Helmholtz partial differential equation. We construct a set of components of interoperable parametrized reference components in a Library to model a family of target models relevant to acoustic devices. The components in the Library are built upon the scRBE method by using RB formula...
متن کاملA Minimum-residual Mixed Reduced Basis Method: Exact Residual Certification and Simultaneous Finite-element Reduced-basis Refinement
We present a reduced basis method for parametrized partial differential equations certified by a dual-norm bound of the residual computed not in the typical finite-element “truth” space but rather in an infinite-dimensional function space. The bound builds on a finite element method and an associated reduced-basis approximation derived from a minimum-residual mixed formulation. The offline stag...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Scientific Computing
سال: 2014
ISSN: 1064-8275,1095-7197
DOI: 10.1137/120887709