3 edition of **Adaptive moving mesh methods** found in the catalog.

- 260 Want to read
- 18 Currently reading

Published
**2011**
by Springer in New York, NY
.

Written in English

- Delay differential equations

**Edition Notes**

Includes bibliographical references (p. 409-425) and index.

Statement | Weizhang Huang, Robert D. Russell |

Series | Applied mathematical sciences (Springer-Verlag New York Inc.) -- v. 174, Applied mathematical sciences (Springer-Verlag New York Inc.) -- v. 174. |

Contributions | Russell, R. D. (Robert D.), 1945- |

Classifications | |
---|---|

LC Classifications | QA377 .H836 2011 |

The Physical Object | |

Pagination | xvii, 432 p. : |

Number of Pages | 432 |

ID Numbers | |

Open Library | OL25033781M |

ISBN 10 | 1441979158 |

ISBN 10 | 9781441979155, 9781441979162 |

LC Control Number | 2011281854 |

OCLC/WorldCa | 682092973 |

"This book addresses some of the current important issues, both positive and negative, related to mesh free methods, which should prove beneficial to researchers, engineers, and students who are interested in venturing into this area of research. This is the first book published that comprehensively covers mesh free methods."5/5(1). Parallel processing of Eulerian-Lagrangian, cell-based adaptive method for moving boundary problems by Chih-Kuang Kuan. A dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy (Aerospace Engineering) in the University of Michigan Doctoral Committee: Professor Ken Powell, Co-Chair.

An adaptive mesh refinement strategy is proposed in this paper for the Immersed Boundary and Immersed Interface methods for two-dimensional elliptic interface problems involving singular sources. The interface is represented by the zero level set of a Lipschitz function φ(x, y).Cited by: 7. Moving mesh methods (also called r-adaptive methods) are space-adaptive strategies used for the numerical simulation of time-dependent partial differential equations. These methods keep the total number of mesh points fixed during the simulation but redistribute them over time to follow the areas where a higher mesh point density is required. There are a very limited number of moving mesh Cited by: 3.

theory and application of adaptive moving grid methods regions of high spatial activity, a standard ﬁxed-grid technique is computationally inefﬁcient, since to afford an accurate numerical approximation, it should contain, in general, a very large number of grid. Read "Book reviews, Monatshefte f\xD9r Mathematik" on DeepDyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips.

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Book January In this chapter we discuss velocity-based adaptive moving mesh methods. Although the classification of methods as being either velocity-based or location-based can at. This book is about adaptive mesh generation and moving mesh methods for the numerical solution of time-dependent partial differential equations.

It presents a general framework and theory for adaptive mesh generation and gives a comprehensive treatment of moving mesh methods and their basic Adaptive moving mesh methods book, along with their application for a number. springer, Moving mesh methods are an effective, mesh-adaptation-based approach for the numerical solution of mathematical models of physical phenomena.

Currently there exist three main strategies for mesh adaptation, namely, to use mesh subdivision, local high order approximation (sometimes combined with mesh subdivision), and mesh movement.

Get this from a library. Adaptive moving mesh methods. [Weizhang Huang; R D Russell] -- Moving mesh methods are an effective, mesh-adaptation-based approach for the numerical solution of mathematical models of physical phenomena.

Currently there exist three main strategies for mesh. This book is about adaptive mesh generation and moving mesh methods for the numerical solution of time-dependent partial differential equations. It presents a general framework and theory for adaptive mesh generation and gives a comprehensive treatment of moving mesh methods and their basic components, Adaptive moving mesh methods book with their application for a number Author: Weizhang Huang, Robert D.

Russell. However, some of our numerical experiments indicate that such a monitor function may not lead to satisfactory grids. Fig. 1 shows the mesh of initial value produced by true value of S w is S w (x) = {1 if x ≤0 if x > Compared with the whole physical domain, the initial saturated region is very small, and the wetting front is very by: 7.

Cite this chapter as: Huang W., Russell R.D. () Adaptive Mesh Movement in 1D. In: Adaptive Moving Mesh Methods. Applied Mathematical Sciences, vol Cited by: 3. This sequential approach is to keep the advantages of robustness and simplicity for the static adaptive grid method (local refinement by adding/deleting the meshes at a discrete time level) as well as of efficiency for the dynamic adaptive grid method (or moving mesh method) where the number of.

We propose a novel adaptive moving mesh method for the numerical solution of a forced curve shortening geometric evolution equation. Control of the mesh quality is obtained using a tangential mesh velocity derived from a mesh equidistribution principle, where a positive adaptivity measure or monitor function is approximately equidistributed along the evolving by: 3.

() A moving mesh finite element algorithm for the adaptive solution of time-dependent partial differential equations with moving boundaries. Applied Numerical Mathematics() Numeric vs. symbolic homotopy algorithms in polynomial system solving: a case by: Moving Mesh Methods for Computational Fluid Dynamics Tao Tang Abstract.

In this paper we will discuss a class of adaptive grid methods called moving mesh method (MMM). Some recent progress of the moving mesh methods will be reviewed. In particular, we review their applications to computational uid dynamics. Contents 1. Introduction 1 2 File Size: 3MB.

A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text. Robert D.

(Bob) Russell is professor of mathematics at Simon Fraser University. Russell together with Uri Ascher and Robert Mattheij is the author of the seminal Numerical Solution of Boundary Value Problems for Ordinary Differential Equations which was subsequently republished as a SIAM Classic.

His latest book is Adaptive Moving Mesh Methods with Weizhang Huang. This book is about Adaptive mesh generation and moving mesh methods for the numerical solution of time-dependent partial differential equations.

It presents a general framework and theory for Adaptive mesh generation and gives a comprehensive treatment of moving mesh methods and their basic components, along with their application for a number of nontrivial physical problems.

In numerical analysis, adaptive mesh refinement (AMR) is a method of adapting the accuracy of a solution within certain sensitive or turbulent regions of simulation, dynamically and during the time the solution is being solutions are calculated numerically, they are often limited to pre-determined quantified grids as in the Cartesian plane which constitute the computational.

Reflecting the significant advances made in the field since the publication of its predecessor, Meshfree Methods: Moving Beyond the Finite Element Method, Second Edition systematically covers the most widely used meshfree methods.

With 70% new material, this edition addresses important new developments, especially on essential theoretical issues. An Adaptive Method of Lines Approach for Modelling Flow and Transport in Rivers An Adaptive Mesh Algorithm for Free Surface Flows in General Geometries, M.

Sussman The Solution of Steady PDEs on Adjustable Meshes in Multidimensions Using Local Descent Methods Adaptive Linearly Implicit Methods for Heat and Mass Transfer Problems.

Spectral methods have made linear acoustics simulations highly computationally efficient, but they currently lose their efficiency when modelling nonlinear waves with regular grids.

Moving mesh methods can address this by distributing mesh nodes to minimise the number of nodes needed to represent a waveform. In this paper, a monitor function is presented which is designed specifically for Cited by: 1.

Login / Register. International Journal for Numerical Methods in Engineering. The aim of the second edition of this book is to provide a comprehensive survey of the different algorithms and data structures useful for triangulation and meshing construction.

In addition, several aspects are given full coverage, such as mesh modification tools, mesh evaluation criteria, mesh optimization, adaptive mesh construction and. methods or moving mesh methods for short, where nodes are typically moved around to adapt to the moving feature of the physical solution.

Moving mesh methods can be developed based on a (static) variational mesh generator, for example see [44, 64, 65, 67, 13, 82, 83].

Other types of.A ﬁnite di ﬀerence moving mesh method based on conservation for moving boundary problems T. E. Leea,b,1, M. J. Bainesa, S. Langdona aDepartment of Mathematics and Statistics, University of Reading, UK bMathematical Institute, University of Oxford, UK Abstract We propose a velocity-based moving mesh method in which we move the nodes so as to preserve.Adaptive Moving Mesh Methods 作者: Russell, Robert D.

页数: 定价: $ 丛书: Applied Mathematical Sciences ISBN: