LEADER 03482nam 2200541 450 001 9910484702203321 005 20210615165640.0 010 $a3-030-60610-4 024 7 $a10.1007/978-3-030-60610-7 035 $a(CKB)5460000000008606 035 $a(DE-He213)978-3-030-60610-7 035 $a(MiAaPQ)EBC6450875 035 $a(Au-PeEL)EBL6450875 035 $a(OCoLC)1229923486 035 $a(BIP)077360435 035 $a(PPN)253253489 035 $a(EXLCZ)995460000000008606 100 $a20210615d2021 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aEfficient high-order discretizations for computational fluid dynamics /$fedited by Martin Kronbichler, Per Olof Persson 205 $a1st ed. 2021. 210 1$aCham, Switzerland :$cSpringer,$d[2021] 210 4$d2021 215 $a1 online resource (VII, 311 p. 88 illus., 56 illus. in color.) 225 1 $aCISM International Centre for Mechanical Sciences, Courses and Lectures,$x0254-1971 ;$v602 300 $aIncludes index. 311 $a3-030-60609-0 327 $aThe Discontinuous Galerkin Methods: Derivation and Properties -- High-Performance Implementation of Discontinuous Galerkin Methods with Application in Fluid Flow. Construction of Modern Robust Nodal Discontinuous Galerkin Spectral Element Methods for the Compressible Navier-Stokes Equations -- p-Multigrid High-Order Discontinuous Galerkin Solution of Compressible Flows -- High-Order Accurate Time Integration and Efficient Implicit Solvers -- An Introduction to the Hybridizable Discontinuous Galerkin Method -- High-Order Methods for Simulation in Engineering. 330 $aThe book introduces modern high-order methods for computational fluid dynamics. As compared to low order finite volumes predominant in today's production codes, higher order discretizations significantly reduce dispersion errors, the main source of error in long-time simulations of flow at higher Reynolds numbers. A major goal of this book is to teach the basics of the discontinuous Galerkin (DG) method in terms of its finite volume and finite element ingredients. It also discusses the computational efficiency of high-order methods versus state-of-the-art low order methods in the finite difference context, given that accuracy requirements in engineering are often not overly strict. The book mainly addresses researchers and doctoral students in engineering, applied mathematics, physics and high-performance computing with a strong interest in the interdisciplinary aspects of computational fluid dynamics. It is also well-suited for practicing computational engineers who would like to gain an overview of discontinuous Galerkin methods, modern algorithmic realizations, and high-performance implementations. 410 0$aCISM International Centre for Mechanical Sciences, Courses and Lectures,$x0254-1971 ;$v602 606 $aComputational fluid dynamics 606 $aDiscretization (Mathematics) 615 0$aComputational fluid dynamics. 615 0$aDiscretization (Mathematics) 676 $a620.1064 702 $aKronbichler$b Martin$4edt 702 $aPersson$b Per-Olof$4edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484702203321 996 $aEfficient high-order discretizations for computational fluid dynamics$92810011 997 $aUNINA