An adaptive mesh moving and local refinement method for time-dependent partial differential equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An adaptive mesh moving and local refinement method for time-dependent partial differential equations write by David C. Arney. This book was released on 1987. An adaptive mesh moving and local refinement method for time-dependent partial differential equations available in PDF, EPUB and Kindle.
An Adaptive Mesh-Moving and Local Refinement Method for Time-Dependent Partial Differential Equations
An Adaptive Mesh-Moving and Local Refinement Method for Time-Dependent Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Adaptive Mesh-Moving and Local Refinement Method for Time-Dependent Partial Differential Equations write by . This book was released on 1990. An Adaptive Mesh-Moving and Local Refinement Method for Time-Dependent Partial Differential Equations available in PDF, EPUB and Kindle. We discuss mesh-moving, static mesh regeneration, and local mesh-refinement algorithms that can be used with a finite difference or finite element scheme to solve initial boundary value problems for vector systems of time-dependent partial differential equations in two space dimensions and time. A coarse based mesh of quadrilateral cells is moved by an algebraic mesh-movement function so as to follow and isolate spatially distinct phenomena. The local mesh-refinement method recursively divides the time step and spatial cells of the moving base mesh in regions where error indicators are high until a prescribed tolerance is satisfied. The static mesh-regeneration procedure is used to create a new base mesh when the existing one becomes to distorted. The adaptive methods have been combined with a MacCormack finite difference scheme for hyperbolic systems and an error indicator based upon estimates of the local discretization error obtained by Richardson extrapolation. Results are presented for several computational examples.
An adaptive method with mesh moving and local mesh refinement for time-dependent partial differential equations
An adaptive method with mesh moving and local mesh refinement for time-dependent partial differential equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An adaptive method with mesh moving and local mesh refinement for time-dependent partial differential equations write by David C. Arney. This book was released on 1986. An adaptive method with mesh moving and local mesh refinement for time-dependent partial differential equations available in PDF, EPUB and Kindle.
An Adaptive Method with Mesh Moving and Local Mesh Refinement for Time-Dependent Partial Differential Equations
An Adaptive Method with Mesh Moving and Local Mesh Refinement for Time-Dependent Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Adaptive Method with Mesh Moving and Local Mesh Refinement for Time-Dependent Partial Differential Equations write by David C. Arney. This book was released on 1988. An Adaptive Method with Mesh Moving and Local Mesh Refinement for Time-Dependent Partial Differential Equations available in PDF, EPUB and Kindle. The authors discuss mesh moving, static mesh regeneration, and local mesh refinement algorithms that can be used with a finite difference or finite element scheme to solve initial-boundary value problems for vector systems of time-dependent partial differential equations in two-space dimensions and time. A coarse base mesh of quadrilateral cells is moved by an algebraic mesh movement function so that it may follow and isolate spatially distinct phenomena. The local mesh refinement method recursively divides the time step and spatial cells of the moving base mesh in regions were error indicators are high until a prescribed tolerance is satisfied. The static mesh regeneration procedure is used to create a new base mesh when the existing ones become too distorted. In order to test our adaptive algorithms, the authors implemented them in a system code with an initial mesh generator, a MacCormack finite difference scheme for hyperbolic systems, and an error indicator based upon estimates of the local discretization error obtained by Richardson extrapolation. Results are presented for several computational examples. (kr).
An Adaptive Mesh Algorithm for Solving Systems of Time Dependent Partial Differential Equations
An Adaptive Mesh Algorithm for Solving Systems of Time Dependent Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Adaptive Mesh Algorithm for Solving Systems of Time Dependent Partial Differential Equations write by David C. Arney. This book was released on 1985. An Adaptive Mesh Algorithm for Solving Systems of Time Dependent Partial Differential Equations available in PDF, EPUB and Kindle. This thesis discusses and adaptive mesh algorithm that can be used with a finite difference or finite element scheme to solve initial-boundary value problems for vector systems of time dependent partial differential equations in two space dimensions. This algorithm combines the adaptive technique of mesh moving, static rezoning, and local mesh refinement. The nodes of a coarse mesh of quadrilateral cells are moved by a simple algebraic node movement function. The local mesh refinement method recursively divides cells of the moving coarse mesh within clustered regions that contain nodes with large error until a user prescribed error tolerance is satisfied. Keywords: Hyperbolic equations; Expert systems; and Computations.
