02907nam 2200589Ia 450 991013266930332120200520144314.09783642244094364224409210.1007/978-3-642-24409-4(CKB)3390000000021737(SSID)ssj0000609173(PQKBManifestationID)11392285(PQKBTitleCode)TC0000609173(PQKBWorkID)10609681(PQKB)10097581(DE-He213)978-3-642-24409-4(MiAaPQ)EBC3070542(PPN)159085047(EXLCZ)99339000000002173720110927d2012 uy 0engurnn|008mamaatxtccrApproximate deconvolution models of turbulence analysis, phenomenology and numerical analysis /William J. Layton, Leo G. Rebholz1st ed. 2012.Berlin ;Heidelberg Springerc20121 online resource (VIII, 184 p. 22 illus., 11 illus. in color.) Lecture notes in mathematics,0075-8434 ;2042Bibliographic Level Mode of Issuance: Monograph9783642244087 3642244084 Includes bibliographical references (p. 175-182) and index.1 Introduction -- 2 Large Eddy Simulation -- 3 Approximate Deconvolution Operators and Models -- 4 Phenomenology of ADMs -- 5 Time Relaxation Truncates Scales -- 6 The Leray-Deconvolution Regularization -- 7 NS-alpha- and NS-omega-Deconvolution Regularizations.This volume presents a mathematical development of a recent approach to the modeling and simulation of turbulent flows based on methods for the approximate solution of inverse problems. The resulting Approximate Deconvolution Models or ADMs have some advantages over more commonly used turbulence models – as well as some disadvantages. Our goal in this book is to provide a clear and complete mathematical development of ADMs, while pointing out the difficulties that remain. In order to do so, we present the analytical theory of ADMs, along with its connections, motivations and complements in the phenomenology of and algorithms for ADMs.Lecture notes in mathematics (Springer-Verlag) ;2042.TurbulenceMathematical modelsInverse problems (Differential equations)Numerical solutionsTurbulenceMathematical models.Inverse problems (Differential equations)Numerical solutions.532.0527015118Layton W. J(William J.)477399Rebholz Leo G515857MiAaPQMiAaPQMiAaPQBOOK9910132669303321Approximate deconvolution models of turbulence854245UNINA