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Finite Difference Computing with PDEs: A Modern Software Approach

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Book Series: Texts in Computational Science and Engineering ISSN: 1611-0994 / 2197-179X ISBN: 9783319554556 9783319554563 Year: Pages: 507 DOI: https://doi.org/10.1007/978-3-319-55456-3 Language: English
Publisher: Springer Nature
Subject: Computer Science
Added to DOAB on : 2017-11-24 13:03:18
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This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners. Accordingly, it especially addresses: the construction of finite difference schemes, formulation and implementation of algorithms, verification of implementations, analyses of physical behavior as implied by the numerical solutions, and how to apply the methods and software to solve problems in the fields of physics and biology.

Fractional Calculus: Theory and Applications

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ISBN: 9783038972068 9783038972075 Year: Pages: 208 DOI: 10.3390/books978-3-03897-207-5 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Physics (General) --- Mathematics
Added to DOAB on : 2018-09-20 11:39:19
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Fractional calculus is allowing integrals and derivatives of any positive order (the term fractional is kept only for historical reasons). It can be considered a branch of mathematical physics that deals with integro-differential equations, where integrals are of convolution type and exhibit mainly singular kernels of power law or logarithm type.It is a subject that has gained considerably popularity and importance in the past few decades in diverse fields of science and engineering. Efficient analytical and numerical methods have been developed but still need particular attention.The purpose of this Special Issue is to establish a collection of articles that reflect the latest mathematical and conceptual developments in the field of fractional calculus and explore the scope for applications in applied sciences.

Marine Propulsors

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ISBN: 9783038972020 9783038972037 Year: Pages: 354 DOI: 10.3390/books978-3-03897-203-7 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Environmental Technology --- Transportation
Added to DOAB on : 2018-10-10 12:11:50
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This book provides an update on the state of the art of hydrodynamic aspects of marine propellers and turbines, covering predictions using numerical and experimental methods, where the numerical methods comprise both potential flow panel methods, Navier–Stokes solvers and mixed methods. Open and ducted propellers, as well as azimuthing thrusters are represented, as well as operation in steady conditions, waves and off-design conditions.The book consists of 16 peer-reviewed scientific papers previously published in Journal of Marine Science and Engineering.

Modeling Excitable Tissue

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Book Series: Simula SpringerBriefs on Computing; Reports on Computational Physiology ISBN: 9783030611576 Year: Pages: 100 DOI: 10.1007/978-3-030-61157-6 Language: English
Publisher: Springer Nature
Subject: Science (General) --- Mathematics
Added to DOAB on : 2020-11-19 00:19:52
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This open access volume presents a novel computational framework for understanding how collections of excitable cells work. The key approach in the text is to model excitable tissue by representing the individual cells constituting the tissue. This is in stark contrast to the common approach where homogenization is used to develop models where the cells are not explicitly present. The approach allows for very detailed analysis of small collections of excitable cells, but computational challenges limit the applicability in the presence of large collections of cells.

Software for Exascale Computing - SPPEXA 2016-2019

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Book Series: Lecture Notes in Computational Science and Engineering ISBN: 9783030479565 Year: Pages: 620 DOI: 10.1007/978-3-030-47956-5 Language: English
Publisher: Springer Nature
Subject: Computer Science --- Science (General) --- Agriculture (General) --- Mathematics
Added to DOAB on : 2020-09-01 00:03:54
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This open access book summarizes the research done and results obtained in the second funding phase of the Priority Program 1648 "Software for Exascale Computing" (SPPEXA) of the German Research Foundation (DFG) presented at the SPPEXA Symposium in Dresden during October 21-23, 2019. In that respect, it both represents a continuation of Vol. 113 in Springer’s series Lecture Notes in Computational Science and Engineering, the corresponding report of SPPEXA’s first funding phase, and provides an overview of SPPEXA’s contributions towards exascale computing in today's sumpercomputer technology. The individual chapters address one or more of the research directions (1) computational algorithms, (2) system software, (3) application software, (4) data management and exploration, (5) programming, and (6) software tools. The book has an interdisciplinary appeal: scholars from computational sub-fields in computer science, mathematics, physics, or engineering will find it of particular interest.

Computational Aerodynamic Modeling of Aerospace Vehicles

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ISBN: 9783038976103 Year: Pages: 294 DOI: 10.3390/books978-3-03897-611-0 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Technology (General) --- General and Civil Engineering --- Transportation
Added to DOAB on : 2019-03-08 11:42:05
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Currently, the use of computational fluid dynamics (CFD) solutions is considered as the state-of-the-art in the modeling of unsteady nonlinear flow physics and offers an early and improved understanding of air vehicle aerodynamics and stability and control characteristics. This Special Issue covers recent computational efforts on simulation of aerospace vehicles including fighter aircraft, rotorcraft, propeller driven vehicles, unmanned vehicle, projectiles, and air drop configurations. The complex flow physics of these configurations pose significant challenges in CFD modeling. Some of these challenges include prediction of vortical flows and shock waves, rapid maneuvering aircraft with fast moving control surfaces, and interactions between propellers and wing, fluid and structure, boundary layer and shock waves. Additional topic of interest in this Special Issue is the use of CFD tools in aircraft design and flight mechanics. The problem with these applications is the computational cost involved, particularly if this is viewed as a brute-force calculation of vehicle’s aerodynamics through its flight envelope. To make progress in routinely using of CFD in aircraft design, methods based on sampling, model updating and system identification should be considered.

Keywords

wake --- bluff body --- square cylinder --- DDES --- URANS --- turbulence model --- large eddy simulation --- Taylor–Green vortex --- numerical dissipation --- modified equation analysis --- truncation error --- MUSCL --- dynamic Smagorinsky subgrid-scale model --- kinetic energy dissipation --- computational fluid dynamics (CFD) --- microfluidics --- numerical methods --- gasdynamics --- shock-channel --- microelectromechanical systems (MEMS) --- discontinuous Galerkin finite element method (DG–FEM) --- fluid mechanics --- characteristics-based scheme --- multi-directional --- Riemann solver --- Godunov method --- bifurcation --- wind tunnel --- neural networks --- modeling --- unsteady aerodynamic characteristics --- high angles of attack --- hypersonic --- wake --- chemistry --- slender-body --- angle of attack --- detection --- after-body --- S-duct diffuser --- flow distortion --- flow control --- vortex generators --- aeroelasticity --- reduced-order model --- flutter --- wind gust responses --- computational fluid dynamics --- convolution integral --- sharp-edge gust --- reduced order aerodynamic model --- geometry --- meshing --- aerodynamics --- CPACS --- MDO --- VLM --- Euler --- CFD --- variable fidelity --- multi-fidelity --- aerodynamic performance --- formation --- VLM --- RANS --- hybrid reduced-order model --- quasi-analytical --- aeroelasticity --- flexible wings --- subsonic --- wing–propeller aerodynamic interaction --- p-factor --- installed propeller --- overset grid approach

Cosmic Plasmas and Electromagnetic Phenomena

Authors: --- ---
ISBN: 9783039214655 9783039214662 Year: Pages: 264 DOI: 10.3390/books978-3-03921-466-2 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Physics (General) --- Astronomy (General)
Added to DOAB on : 2019-12-09 11:49:16
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During the past few decades, plasma science has witnessed a great growth in laboratory studies, in simulations, and in space. Plasma is the most common phase of ordinary matter in the universe. It is a state in which ionized matter (even as low as 1%) becomes highly electrically conductive. As such, long-range electric and magnetic fields dominate its behavior. Cosmic plasmas are mostly associated with stars, supernovae, pulsars and neutron stars, quasars and active galaxies at the vicinities of black holes (i.e., their jets and accretion disks). Cosmic plasma phenomena can be studied with different methods, such as laboratory experiments, astrophysical observations, and theoretical/computational approaches (i.e., MHD, particle-in-cell simulations, etc.). They exhibit a multitude of complex magnetohydrodynamic behaviors, acceleration, radiation, turbulence, and various instability phenomena. This Special Issue addresses the growing need of the plasma science principles in astrophysics and presents our current understanding of the physics of astrophysical plasmas, their electromagnetic behaviors and properties (e.g., shocks, waves, turbulence, instabilities, collimation, acceleration and radiation), both microscopically and macroscopically. This Special Issue provides a series of state-of-the-art reviews from international experts in the field of cosmic plasmas and electromagnetic phenomena using theoretical approaches, astrophysical observations, laboratory experiments, and state-of-the-art simulation studies.

Engineering Fluid Dynamics 2018

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ISBN: 9783039281121 9783039281138 Year: Pages: 256 DOI: 10.3390/books978-3-03928-113-8 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: General and Civil Engineering --- Technology (General)
Added to DOAB on : 2020-01-30 16:39:46
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“Engineering Fluid Dynamics 2018”. The topic of engineering fluid dynamics includes both experimental as well as computational studies. Of special interest were submissions from the fields of mechanical, chemical, marine, safety, and energy engineering. We welcomed both original research articles as well as review articles. After one year, 28 papers were submitted and 14 were accepted for publication. The average processing time was 37.91 days. The authors had the following geographical distribution: China (9); Korea (3); Spain (1); and India (1). Papers covered a wide range of topics, including analysis of fans, turbines, fires in tunnels, vortex generators, deep sea mining, as well as pumps.

Keywords

axial fan --- rotating stall --- aerodynamic noise --- numerical simulation --- noise spectrum --- centrifugal pump --- radiation noise --- distribution characteristic --- acoustic energy --- experimental research --- thermosyphon --- volume of fluid --- multiphase flow --- evaporation and condensation --- centrifugal pump --- impeller --- blade wrap angle --- blade exit angle --- optimized design --- deep sea mining --- manganese nodules exploitation --- hydraulic collecting --- suction flow field --- dimensional analysis --- circumferential groove casing treatment --- sweep and lean --- CGCT-blade integrated optimization --- computational fluid dynamics (CFD) --- flow around cylinder --- fluid structure interaction (FSI) --- hydrodynamic response --- numerical methods --- simulation and modeling --- vortex induced vibration (VIV) ratio --- gas turbine --- axial gap --- hot streak --- heat transfer --- leading edge --- global optimization --- cavitation inception --- orthogonal test --- CFD simulation --- two-stage axial fan --- numerical simulation --- abnormal blade installation angle --- rotating stall --- Tesla turbine --- fluid dynamics --- disc thickness --- disc spacing distance --- isentropic efficiency --- plug-holing --- tunnel slope --- fire --- natural ventilation --- ventilation performance --- aspect ratio --- evacuation --- fire propagation --- tunnel vehicle fire --- unsteady heat release rate --- flow control --- vortex generators --- source term --- Computational Fluid Dynamics (CFD) --- OpenFOAM --- wind tunnel

Advanced Numerical Methods in Applied Sciences

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ISBN: 9783038976660 9783038976677 Year: Pages: 306 DOI: 10.3390/books978-3-03897-667-7 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Mathematics
Added to DOAB on : 2019-06-26 08:44:06
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The use of scientific computing tools is currently customary for solving problems at several complexity levels in Applied Sciences. The great need for reliable software in the scientific community conveys a continuous stimulus to develop new and better performing numerical methods that are able to grasp the particular features of the problem at hand. This has been the case for many different settings of numerical analysis, and this Special Issue aims at covering some important developments in various areas of application.

Keywords

time fractional differential equations --- mixed-index problems --- analytical solution --- asymptotic stability --- conservative problems --- Hamiltonian problems --- energy-conserving methods --- Poisson problems --- Hamiltonian Boundary Value Methods --- HBVMs --- line integral methods --- constrained Hamiltonian problems --- Hamiltonian PDEs --- highly oscillatory problems --- boundary element method --- finite difference method --- floating strike Asian options --- continuous geometric average --- barrier options --- isogeometric analysis --- adaptive methods --- hierarchical splines --- THB-splines --- local refinement --- linear systems --- preconditioners --- Cholesky factorization --- limited memory --- Volterra integral equations --- Volterra integro–differential equations --- collocation methods --- multistep methods --- convergence --- B-spline --- optimal basis --- fractional derivative --- Galerkin method --- collocation method --- spectral (eigenvalue) and singular value distributions --- generalized locally Toeplitz sequences --- discretization of systems of differential equations --- higher-order finite element methods --- discontinuous Galerkin methods --- finite difference methods --- isogeometric analysis --- B-splines --- curl–curl operator --- time harmonic Maxwell’s equations and magnetostatic problems --- low rank completion --- matrix ODEs --- gradient system --- ordinary differential equations --- Runge–Kutta --- tree --- stump --- order --- elementary differential --- edge-histogram --- edge-preserving smoothing --- histogram specification --- initial value problems --- one-step methods --- Hermite–Obreshkov methods --- symplecticity --- B-splines --- BS methods --- hyperbolic partial differential equations --- high order discontinuous Galerkin finite element schemes --- shock waves and discontinuities --- vectorization and parallelization --- high performance computing --- generalized Schur algorithm --- null-space --- displacement rank --- structured matrices --- stochastic differential equations --- stochastic multistep methods --- stochastic Volterra integral equations --- mean-square stability --- asymptotic stability --- numerical analysis --- numerical methods --- scientific computing --- initial value problems --- one-step methods --- Hermite–Obreshkov methods --- symplecticity --- B-splines --- BS methods

Biomaterials for Bone Tissue Engineering

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ISBN: 9783039289653 / 9783039289660 Year: Pages: 244 DOI: 10.3390/books978-3-03928-966-0 Language: eng
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Technology (General) --- General and Civil Engineering
Added to DOAB on : 2020-06-09 16:38:57
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Bone tissue engineering aims to develop artificial bone substitutes that partially or totally restore the natural regeneration capability of bone tissue lost under circumstances of injury, significant defects, or diseases such as osteoporosis. In this context, biomaterials are the keystone of the methodology. Biomaterials for bone tissue engineering have evolved from biocompatible materials that mimic the physical and chemical environment of bone tissue to a new generation of materials that actively interacts with the physiological environment, accelerating bone tissue growth. Mathematical modelling and simulation are important tools in the overall methodology. This book presents an overview of the current investigations and recent contributions in the field of bone tissue engineering. It includes several successful examples of multidisciplinary collaboration in this transversal area of research. The book is intended for students, researchers, and professionals of a number of disciplines, such as engineering, mathematics, physics, chemistry, biomedicine, biology, and veterinary. The book is composed of an editorial section and 16 original research papers authored by leading researchers of this discipline from different laboratories across the world

Keywords

Pelvis --- Bone tumor --- 3D-printed implant --- Fixation design --- von Mises stress --- dental implants --- osseointegration --- resonance frequency analysis --- biomaterials --- titanium --- powder metallurgy --- loose sintering --- finite element method --- mechanical behaviour --- bone tissue regeneration --- computed tomography --- Xenografts --- stem cell --- cartilage --- finite element --- finite-element simulation --- electric stimulation --- bone regeneration --- computational modelling --- electrically active implants --- bioelectromagnetism --- critical size defect --- maxillofacial --- minipig --- oxygen delivery --- optimization --- mass transfer --- transport --- bone tissue engineering --- computational fluid dynamics --- Lattice Boltzmann method --- scaffold design --- culturing protocol --- Lagrangian scalar tracking --- cortical bone --- damage --- finite elements --- numerical results --- adipogenesis --- bone marrow --- MSCs --- prediction marker --- bone tissue --- elastoplasticity --- finite element method --- fracture risk --- osteoporosis --- trabeculae --- trabecular bone score --- vertebra --- biomechanics --- finite element modelling --- pelvis --- bone adaptation --- musculoskeletal modelling --- bone tissue engineering --- biomaterials --- computational mechanobiology --- numerical methods in bioengineering --- Ti6Al4V scaffolds --- triply periodic minimal surfaces --- selective laser melting --- additive manufacturing --- biomaterial applications --- finite element analysis --- spark plasma sintering --- wollastonite --- human dental pulp stem cells --- substrate-mediated electrical stimulation --- direct current electric field --- osteo-differentiation --- bone morphogenesis proteins --- cortical bone --- digital image correlation --- multiscale analysis --- micromechanics --- computational mechanics --- cone beam computed tomography --- automatic segmentation --- sliding window --- 3D virtual surgical plan --- Otsu’s method --- n/a

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