000256392 001__ 256392
000256392 005__ 20190619220040.0
000256392 037__ $$aBOOK_CHAP
000256392 245__ $$aConservative Model Order Reduction for Fluid Flow
000256392 260__ $$bSpringer Verlag$$c2018-08-06
000256392 269__ $$a2018-08-06
000256392 336__ $$aBook Chapters
000256392 520__ $$aIn the past decade, model order reduction (MOR) has been successful in reducing the computational complexity of elliptic and parabolic systems of partial differential equations (PDEs). However, MOR of hyperbolic equations remains a challenge. Symmetries and conservation laws, which are a distinctive feature of such systems, are often destroyed by conventional MOR techniques which result in a perturbed, and often unstable reduced system. The importance of conservation of energy is well-known for a correct numerical integration of fluid flow. In this paper, we discuss model reduction, that exploits skew-symmetry of conservative and centered discretization schemes, to recover conservation of energy at the level of the reduced system. Moreover, we argue that the reduced system, constructed with the new method, can be identified by a reduced energy that mimics the energy of the high-fidelity system. Therefore, the loss in energy, associated with the model reduction, remains constant in time. This results in an, overall, correct evolution of the fluid that ensures robustness of the reduced system. We evaluate the performance of the proposed method through numerical simulation of various fluid flows, and through a numerical simulation of a continuous variable resonance combustor model.
000256392 700__ $$g222380$$aMaboudi Afkham, Babak$$0248435
000256392 700__ $$g260853$$aRipamonti, Nicolò$$0251591
000256392 700__ $$aWang, Qian$$0244119$$g205233
000256392 700__ $$0247428$$aHesthaven, Jan S.$$g232231
000256392 773__ $$tAdvances in reduced order modeling
000256392 8560_ $$fjan.hesthaven@epfl.ch
000256392 8564_ $$uhttps://infoscience.epfl.ch/record/256392/files/Skewsymmetry.pdf$$s4382998
000256392 8564_ $$uhttps://infoscience.epfl.ch/record/256392/files/ConservativeMOR_Final.pdf$$zFinal$$s4384228
000256392 909C0 $$pMCSS$$mdelphine.vieira@epfl.ch$$mjan.hesthaven@epfl.ch$$0252492$$xU12703
000256392 909CO $$pbook$$pSB$$pchapter$$ooai:infoscience.epfl.ch:256392$$qGLOBAL_SET
000256392 960__ $$ajan.hesthaven@epfl.ch
000256392 961__ $$anoemi.cobolet@epfl.ch
000256392 973__ $$aEPFL$$sSUBMITTED
000256392 980__ $$aBOOK_CHAP
000256392 981__ $$aoverwrite