05611nam 2200745Ia 450 991014442960332120170925002935.01-282-12393-997866121239310-470-98974-20-470-98966-1(CKB)1000000000687381(EBL)470625(OCoLC)609849604(SSID)ssj0000353857(PQKBManifestationID)11258805(PQKBTitleCode)TC0000353857(PQKBWorkID)10302042(PQKB)10810676(SSID)ssj0000356680(PQKBManifestationID)12082020(PQKBTitleCode)TC0000356680(PQKBWorkID)10349737(PQKB)11100528(MiAaPQ)EBC470625(CaSebORM)9780470519073(EXLCZ)99100000000068738120010208d2008 uy 0engur|n|---|||||txtccrApplied computational fluid dynamics techniques[electronic resource] an introduction based on finite element methods /Rainald Löhner2nd ed.Chichester ;New York Wileyc20081 online resource (539 p.)Description based upon print version of record.0-471-49843-2 0-470-51907-X Includes bibliographical references and index.APPLIED COMPUTATIONAL FLUID DYNAMICS TECHNIQUES; CONTENTS; Index; FOREWORD TO THE SECOND EDITION; ACKNOWLEDGEMENTS; 1 INTRODUCTION AND GENERAL CONSIDERATIONS; 1.1 The CFD code; 1.2 Porting research codes to an industrial context; 1.3 Scope of the book; 2 DATA STRUCTURES AND ALGORITHMS; 2.1 Representation of a grid; 2.2 Derived data structures for static data; 2.2.1 Elements surrounding points - linked lists; 2.2.2 Points surrounding points; 2.2.3 Elements surrounding elements; 2.2.4 Edges; 2.2.5 External faces; 2.2.6 Edges of an element; 2.3 Derived data structures for dynamic data2.3.1 N-trees2.4 Sorting and searching; 2.4.1 Heap lists; 2.5 Proximity in space; 2.5.1 Bins; 2.5.2 Binary trees; 2.5.3 Quadtrees and octrees; 2.6 Nearest-neighbours and graphs; 2.7 Distance to surface; 3 GRID GENERATION; 3.1 Description of the domain to be gridded; 3.1.1 Analytical functions; 3.1.2 Discrete data; 3.2 Variation of element size and shape; 3.2.1 Internal measures of grid quality; 3.2.2 Analytical functions; 3.2.3 Boxes; 3.2.4 Point/line/surface sources; 3.2.5 Background grids; 3.2.6 Element size attached to CAD data; 3.2.7 Adaptive background grids3.2.8 Surface gridding with adaptive background grids3.3 Element type; 3.4 Automatic grid generation methods; 3.5 Other grid generation methods; 3.6 The advancing front technique; 3.6.1 Checking the intersection of faces; 3.6.2 Data structures to minimize search overheads; 3.6.3 Additional techniques to increase speed; 3.6.4 Additional techniques to enhance reliability; 3.7 Delaunay triangulation; 3.7.1 Circumsphere calculations; 3.7.2 Data structures to minimize search overheads; 3.7.3 Boundary recovery; 3.7.4 Additional techniques to increase speed3.7.5 Additional techniques to enhance reliability and quality3.8 Grid improvement; 3.8.1 Removal of bad elements; 3.8.2 Laplacian smoothing; 3.8.3 Grid optimization; 3.8.4 Selective mesh movement; 3.8.5 Diagonal swapping; 3.9 Optimal space-filling tetrahedra; 3.10 Grids with uniform cores; 3.11 Volume-to-surface meshing; 3.12 Navier-Stokes gridding techniques; 3.12.1 Design criteria for RANS gridders; 3.12.2 Smoothing of surface normals; 3.12.3 Point distribution along normals; 3.12.4 Subdivision of prisms into tetrahedra; 3.12.5 Element removal criteria3.13 Filling space with points/arbitrary objects3.13.1 The advancing front space-filling algorithm; 3.13.2 Point/object placement stencils; 3.13.3 Boundary consistency checks; 3.13.4 Maximum compaction techniques; 3.13.5 Arbitrary objects; 3.13.6 Deposition patterns; 3.14 Applications; 3.14.1 Space shuttle ascend configuration; 3.14.2 Pilot ejecting from F18; 3.14.3 Circle of Willis; 3.14.4 Generic submarine body; 3.14.5 Ahmed car body; 3.14.6 Truck; 3.14.7 Point cloud for F117; 3.14.8 Hopper filled with beans/ellipsoids; 3.14.9 Cube filled with spheres of different sizes4 APPROXIMATION THEORYComputational fluid dynamics (CFD) is concerned with the efficient numerical solution of the partial differential equations that describe fluid dynamics. CFD techniques are commonly used in the many areas of engineering where fluid behavior is an important factor. Traditional fields of application include aerospace and automotive design, and more recently, bioengineering and consumer and medical electronics. With Applied Computational Fluid Dynamics Techniques, 2nd edition, Rainald Löhner introduces the reader to the techniques required to achieve efficient CFD solvers, forming a bridge betweeFluid dynamicsMathematicsNumerical analysisFinite element methodElectronic books.Fluid dynamicsMathematics.Numerical analysis.Finite element method.620.1/064620.1064Löhner Rainald924353MiAaPQMiAaPQMiAaPQBOOK9910144429603321Applied computational fluid dynamics techniques2074342UNINA06371nam 22007575 450 991029996180332120250610110429.03-319-03940-710.1007/978-3-319-03940-4(CKB)2670000000547993(EBL)1698136(OCoLC)881166104(SSID)ssj0001187295(PQKBManifestationID)11702552(PQKBTitleCode)TC0001187295(PQKBWorkID)11243018(PQKB)10053822(MiAaPQ)EBC1698136(DE-He213)978-3-319-03940-4(PPN)177825286(MiAaPQ)EBC29095592(EXLCZ)99267000000054799320140318d2014 u| 0engur|n|---|||||txtccrLiber Mahameleth /by Jacques Sesiano1st ed. 2014.Cham :Springer International Publishing :Imprint: Springer,2014.1 online resource (1823 p.)Sources and Studies in the History of Mathematics and Physical Sciences,2196-8810Description based upon print version of record.3-319-03939-3 Includes bibliographical references and index.Part I -- 1. The rebirth of mathematics in mediaeval Europe -- 2. The Liber mahameleth -- 3. Manuscripts of the Liber mahameleth -- 4. Transmission of the Liber mahameleth -- 5. Mathematics in the Liber mahameleth -- 6. The edited Latin text -- Part II -- Translation -- Beginning of the Book (on) mahameleth -- A-I. on Numbers -- A-II. on the Premisses necessary for practical arithmetic -- A-III. on Multiplication -- A-IV. on Division -- A-V. on the Multiplication of fractions -- A-VI. on the Addition of fractions to fractions -- A-VII. on Subtracting -- A-VIII. on the Division of fractions, with or without integers -- A-IX. on the Determination of roots and on their multiplication, division, subtraction, addition and other related subjects -- Beginning of the Second Part -- B-I. on Buying and selling -- B-II. on Profits -- B-III. on Profit in partnership -- B-IV. on Division according to portions -- B-V. on Masses -- B-VI. on Drapery -- B-VIII. on Linens -- B-VIII. on Grinding -- B-IX. on Boiling must -- B-X. on Borrowing -- B-XI. on Hiring -- B-XII. on the Diversity of workers' wages -- B-XIII on Hiring carriers -- B-XIV. on Hiring stone-cutters -- B-XV. on the Consumption of oil by lamps -- B-XVI. on the Consumption by animals -- B-XVII. on the Consumption of bread by men -- B-XVIII. on the Exchange of morabitini -- B-XIX. on Cisterns -- XX. on Ladders -- B-XXI. on Another topic -- B-XXII. on Messengers -- B-XXIII. on Another topic -- Glossary -- Part III -- Mathematical Commentary -- Book A -- A-I. Numbers -- A-II. Premisses -- A-III. Multiplication of Integers -- A-IV. Division of integers -- A-V. Multiplication of fractions -- A-VI. Addition of fractions -- A-VII. Subtraction of fractions -- A-VIII. Division of fractions -- A-IX. Roots -- Book B -- Introduction -- B-I. Buying and selling -- B-II. Profit -- B-III. Profit in partnership -- B-IV. Sharing out according to prescribed parts -- B-V. Masses -- B-VI. Drapery -- B-VII. Linen cloths -- B-VIII. Grinding -- B-IX. Boiling must -- B-X. Borrowing -- B-XI. Hiring workers -- B-XII. Wages in arithmetical progression -- B-XIII. Hiring a carrier -- B-XIV. Hiring stone-cutters -- B-XV. Consumption of lamp-oil -- B-XVI. Consumption by animals -- B-XVII. Consumption of bread -- B-XVIII. Exchanging moneys -- B-XIX. Cisterns -- B-XX. Ladders -- B-XXI. Bundles -- B-XXII. Messengers -- B-XXIII. Mutual lending -- Bibliography -- Index.The Liber mahameleth is a work in Latin written in the mid-12th century based (mainly) on Arabic sources from Islamic Spain. It is now our principal source on mathematics in Islamic Spain at that time; There are few extant Arabic texts and no one is as complete as the LM. It is also the second largest mathematical work from the Latin Middle Ages (the other is by Fibonacci, some 50 years later). Since the three main manuscripts preserving it are incomplete and there are many scribal errors, a reliable Latin text has been established, which reports (in notes) the various readings of the manuscripts and the errors in them. This is how a so-called critical edition is made. This edition of the Latin text is preceded by General Introduction, describing the various manuscripts, the content of the work and what we know about its author. Part Two of the volume is a translation of the text and ends with a glossary of Latin terms. The glossary will be of great importance for the knowledge of Latin scientific terms from that time, since there is no other mathematical text of this size from the 12th century. Part Three begins with a short introduction and then analyzes all the problems from the text, with a summary of the mathematical methods involved in each chapter. The commentary is a companion to the translation and explains the author's solving methods.Sources and Studies in the History of Mathematics and Physical Sciences,2196-8810MathematicsHistoryAlgebraSequences (Mathematics)GeometryHistory of Mathematical Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M23009Algebrahttps://scigraph.springernature.com/ontologies/product-market-codes/M11000Sequences, Series, Summabilityhttps://scigraph.springernature.com/ontologies/product-market-codes/M1218XGeometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21006Mathematics.History.Algebra.Sequences (Mathematics)Geometry.History of Mathematical Sciences.Algebra.Sequences, Series, Summability.Geometry.510Sesiano Jacquesauthttp://id.loc.gov/vocabulary/relators/aut471739MiAaPQMiAaPQMiAaPQBOOK9910299961803321Liber mahameleth1410215UNINA