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Numerical Simulation Of Complex Viscoelastic Flows Using Discontinuous Galerkin Spectral Hp Element Methods
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Book Synopsis Numerical Simulation of Complex Viscoelastic Flows Using Discontinuous Galerkin Spectral/hp Element Methods by : Susanne Claus
Download or read book Numerical Simulation of Complex Viscoelastic Flows Using Discontinuous Galerkin Spectral/hp Element Methods written by Susanne Claus and published by . This book was released on 2013 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Simulation of Incompressible Viscous Flow by : Roland Glowinski
Download or read book Numerical Simulation of Incompressible Viscous Flow written by Roland Glowinski and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-09-20 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on finite element-based computational methods for solving incompressible viscous fluid flow problems shows readers how to apply operator splitting techniques to decouple complicated computational fluid dynamics problems into a sequence of relatively simpler sub-problems at each time step, such as hemispherical cavity flow, cavity flow of an Oldroyd-B viscoelastic flow, and particle interaction in an Oldroyd-B type viscoelastic fluid. Efficient and robust numerical methods for solving those resulting simpler sub-problems are introduced and discussed. Interesting computational results are presented to show the capability of methodologies addressed in the book.
Book Synopsis Numerical Simulation of Viscoelastic Fluid Flows by Spectral Element Methods and Time-dependent Algorithms by : Nicolas Fiétier
Download or read book Numerical Simulation of Viscoelastic Fluid Flows by Spectral Element Methods and Time-dependent Algorithms written by Nicolas Fiétier and published by . This book was released on 2002 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical and Computational Methods for Compressible Flow by : Miloslav Feistauer
Download or read book Mathematical and Computational Methods for Compressible Flow written by Miloslav Feistauer and published by Oxford University Press, USA. This book was released on 2003 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with mathematical and numerical methods for compressible flow. It aims to provide the reader with a sufficiently detailed and extensive, mathematically precise, but comprehensible guide, through a wide spectrum of mathematical and computational methods used in Computational Fluid Dynamics (CFD) for the numerical simulation of compressible flow. Up-to-date techniques applied in the numerical solution of inviscid as well as viscous compressible flow on unstructured meshes are explained, thus allowing the simulation of complex three-dimensional technically relevant problems. Among some of the methods addressed are finite volume methods using approximate Riemann solvers, finite element techniques, such as the streamline diffusion and the discontinuous Galerkin methods, and combined finite volume - finite element schemes. The book gives a complex insight into the numerics of compressible flow, covering the development of numerical schemes and their theoretical mathematical analysis, their verification on test problems and use in solving practical engineering problems. The book will be helpful to specialists coming into contact with CFD - pure and applied mathematicians, aerodynamists, engineers, physicists and natural scientists. It will also be suitable for advanced undergraduate, graduate and postgraduate students of mathematics and technical sciences.
Book Synopsis Simulation of Nonisothermal and Time-dependent Viscoelastic Flows by : Mark Davis Smith
Download or read book Simulation of Nonisothermal and Time-dependent Viscoelastic Flows written by Mark Davis Smith and published by . This book was released on 2000 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Analysis of Viscoelastic Flows by : Michael Renardy
Download or read book Mathematical Analysis of Viscoelastic Flows written by Michael Renardy and published by SIAM. This book was released on 2000-01-01 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is based on a series of lectures presented at the 1999 NSF-CBMS Regional Research Conference on Mathematical Analysis of Viscoelastic Flows. It begins with an introduction to phenomena observed in viscoelastic flows, the formulation of mathematical equations to model such flows, and the behavior of various models in simple flows. It also discusses the asymptotics of the high Weissenberg limit, the analysis of flow instabilities, the equations of viscoelastic flows, jets and filaments and their breakup, as well as several other topics.
Book Synopsis Direct Numerical Simulation of Multi-Phase Flows Using Extended Discontinuous Galerkin Methods by : Martin Smuda
Download or read book Direct Numerical Simulation of Multi-Phase Flows Using Extended Discontinuous Galerkin Methods written by Martin Smuda and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Direct Numerical Simulations (DNS) of Turbulent Flows in an Undulating Channel by : Luo Wang
Download or read book Direct Numerical Simulations (DNS) of Turbulent Flows in an Undulating Channel written by Luo Wang and published by . This book was released on 2007 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: In summary, in this work we have developed and successfully tested all the necessary ingredients for a successful simulation of viscoelastic turbulent flow in a wavy channel. It is only a matter of time in future work to address the fine tuning of parameters such as the diffusivity, time integration scheme, etc. in order to successfully perform the very large scale simulations needed to reproduce viscoelastic turbulent flows in a wavy channel flow geometry.
Book Synopsis A Multi-resolution Discontinuous Galerkin Method for Unsteady Compressible Flows by : Andrew Brian Shelton
Download or read book A Multi-resolution Discontinuous Galerkin Method for Unsteady Compressible Flows written by Andrew Brian Shelton and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The issue of local scale and smoothness presents a crucial and daunting challenge for numerical simulation methods in fluid dynamics. Yet in the interests of both accuracy and economy, how can one devise a general technique that efficiently resolves flow features of consequence and discriminates against others which are either ``negligible' or amenable to ``universal' modeling? This is particularly difficult because geometries of engineering interest are complex and multi-dimensional, precluding a priori knowledge of the flowfield. To address this challenge, the current work employs wavelet theory for the local scale decomposition of functions, which provides a natural mechanism for the adaptive compression of data. The resulting technique is known as the Multi-Resolution Discontinuous Galerkin (MRDG) method.
Book Synopsis Numerical Simulation of Non-isothermal Viscoelastic Flows with Integral Constitutive Equations in Planar Geometry by : Gien-Huang Wu
Download or read book Numerical Simulation of Non-isothermal Viscoelastic Flows with Integral Constitutive Equations in Planar Geometry written by Gien-Huang Wu and published by . This book was released on 1995 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Direct Numerical Simulation of Compressible Turbulent Flows Using Adaptive Spectral Element Method by : T. J. Chung
Download or read book Direct Numerical Simulation of Compressible Turbulent Flows Using Adaptive Spectral Element Method written by T. J. Chung and published by . This book was released on 1994 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Simulations of Viscoelastic Flow in Complex Geometries Using a Multi-mode Giesekus Model by : Wan-Chi Tsai
Download or read book Numerical Simulations of Viscoelastic Flow in Complex Geometries Using a Multi-mode Giesekus Model written by Wan-Chi Tsai and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We present a convergent and stable numerical algorithm to simulate unsteady incompressible viscoelastic flow in two dimensional complex geometry. The incompressible viscous momentum equation, coupled with the multiple mode Giesekus constitutive equation for viscoelastic stress, are used to model viscoelastic fluids in our problems. We recast the hyperbolic part of equations to a second order conservative finite difference method and leave the elliptic part as a source term to be computed by implicit methods. A second order Godunov method is introduced to compute edge-centered, time-centered primitive variables for calculating fluxes in a conservative finite difference equation, and then cell-centered conservative variables are updated using a hybrid flux divergence and source terms. The nonlinear stress source term in the elliptic part is computed separately by applying an operator splitting method with a new, stable, discretization. A projection method is used to enforce the velocity incompressibility constraint and to update pressure. Irregular computational domains are discretized with a Cartesian grid embedded boundary method. We demonstrate our numerical method by computing flow passing a sphere, flow in a well-rounded contraction channel, and in an abrupt contraction channel, with component Weissenberg numbers exceeding 300. The convergence rates of the solution error are second order in the L1 and L2 norms, and first order in the L[infinity] norm for velocity components in arbitrary smooth geometries. For stress components, this numerical algorithm showed second order convergence rate in the L1 norm, higher than first order in the L2 norm.
Book Synopsis Multi-phase Flows Using Discontinuous Galerkin Methods by : Leandro Damian Gryngarten
Download or read book Multi-phase Flows Using Discontinuous Galerkin Methods written by Leandro Damian Gryngarten and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis is concerned with the development of numerical techniques to simulate compressible multi-phase flows, in particular a high-accuracy numerical approach with mesh adaptivity. The Discontinuous Galerkin (DG) method was chosen as the framework for this work for being characterized for its high-order of accuracy -thus low numerical diffusion- and being compatible with mesh adaptivity due to its locality. A DG solver named DiGGIT (Discontinuous Galerkin at the Georgia Institute of Technology) has been developed and several aspects of the method have been studied. The Local Discontinuous Galerkin (LDG) method -an extension of DG for equations with high-order derivatives- was extended to solve multiphase flows using Diffused Interface Methods (DIM). This multi-phase model includes the convection of the volume fraction, which is treated as a Hamilton-Jacobi equation. This is the first study, to the author's knowledge, in which the volume fraction of a DIM is solved using the DG and the LDG methods. The formulation is independent of the Equation of State (EOS) and it can differ for each phase. This allows for a more accurate representation of the different fluids by using cubic EOSs, like the Peng-Robinson and the van der Waals models. Surface tension is modeled with a new numerical technique appropriate for LDG. Spurious oscillations due to surface tension are common to all the capturing schemes, and this new approach presents oscillations comparable in magnitude to the most common schemes. The moment limiter (ML) was generalized for non-uniform grids with hanging nodes that result from adaptive mesh refinement (AMR). The effect of characteristic, primitive, or conservative decomposition in the limiting stage was studied. The characteristic option cannot be used with the ML in multi-dimensions. In general, primitive variable decomposition is a better option than with conservative variables, particularly for multiphase flows, since the former type of decomposition reduces the numerical oscillations at material discontinuities. An additional limiting technique was introduced for DIM to preserve positivity while minimizing the numerical diffusion, which is especially important at the interface. The accuracy-preserving total variation diminishing (AP-TVD) marker for ``troubled-cell' detection, which uses an averaged-derivative basis, was modified to use the Legendre polynomial basis. Given that the latest basis is generally used for DG, the new approach avoids transforming to the averaged-derivative basis, what results in a more efficient technique.\r : Furthermore, a new error estimator was proposed to determine where to refine or coarsen the grid. This estimator was compared against other estimator used in the literature and it showed an improved performance. In order to provide equal order of accuracy in time as in space, the commonly used 3rd-order TVD Runge-Kutta (RK) scheme in the DG method was replaced in some cases by the Spectral Deferred Correction (SDC) technique. High orders in time were shown to only be required when the error in time is significant. For instance, convection-dominated compressible flows require for stability a time step much smaller than is required for accuracy, so in such cases 3rd-order TVD RK resulted to be more efficient than SDC with higher orders.\r : \r : All these new capabilities were included in DiGGIT and have provided a generalized approach capable of solving sub- and super-critical flows at sub- and super-sonic speeds, using a high-order scheme in space and time, and with AMR.\r : Canonical test cases are presented to verify and validate the formulation in one, two, and three dimensions. Finally, the solver is applied to practical applications. Shock-bubble interaction is studied and the effect of the different thermodynamic closures is assessed. Interaction between single-drops and a wall is simulated. Sticking and the onset of splashing are observed. In addition, the solver is used to simulate turbulent flows, where the high-order of accuracy clearly shows its benefits. Finally, the methodology is challenged with the simulation of a liquid jet in cross flow.
Book Synopsis Numerical Simulations of Complex Viscoelastic Flows by : Bumroong Puangkird
Download or read book Numerical Simulations of Complex Viscoelastic Flows written by Bumroong Puangkird and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Simulation of Viscoelastic Fluid Flow Using Integral Constitutive Equations and Finite Volume Methods by : N. Kokkonidis
Download or read book Numerical Simulation of Viscoelastic Fluid Flow Using Integral Constitutive Equations and Finite Volume Methods written by N. Kokkonidis and published by . This book was released on 1996 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analysis and Numerical Simulation of the Flow of Viscoelastic Fluids by : Martinus A. Hulsen
Download or read book Analysis and Numerical Simulation of the Flow of Viscoelastic Fluids written by Martinus A. Hulsen and published by . This book was released on 1988 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stabilized Spectral Element Methods for the Simulation of Viscoelastic Flows by : Cédric Chauvière
Download or read book Stabilized Spectral Element Methods for the Simulation of Viscoelastic Flows written by Cédric Chauvière and published by . This book was released on 2002 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: