281 research outputs found

    ADER-WENO Finite volume schemes with adaptive mesh refinement for hyperbolic problems

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    In this work it is presented an ADER-WENO approach for hyperbolic problems in the context of the finite volume method, using adaptive mesh refinement. ADER approach is of great interest for time integration since it achieves an arbitrary order of accuracyin a single time step. This is a joint work with M. Dumbser and O. Zanotti from the University of Trento (Italy)

    ADER-WENO Finite Volume Schemes with Space-Time Adaptive Mesh Refinement

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    We present the first high order one-step ADER-WENO finite volume scheme with Adaptive Mesh Refinement (AMR) in multiple space dimensions. High order spatial accuracy is obtained through a WENO reconstruction, while a high order one-step time discretization is achieved using a local space-time discontinuous Galerkin predictor method. Due to the one-step nature of the underlying scheme, the resulting algorithm is particularly well suited for an AMR strategy on space-time adaptive meshes, i.e.with time-accurate local time stepping. The AMR property has been implemented 'cell-by-cell', with a standard tree-type algorithm, while the scheme has been parallelized via the Message Passing Interface (MPI) paradigm. The new scheme has been tested over a wide range of examples for nonlinear systems of hyperbolic conservation laws, including the classical Euler equations of compressible gas dynamics and the equations of magnetohydrodynamics (MHD). High order in space and time have been confirmed via a numerical convergence study and a detailed analysis of the computational speed-up with respect to highly refined uniform meshes is also presented. We also show test problems where the presented high order AMR scheme behaves clearly better than traditional second order AMR methods. The proposed scheme that combines for the first time high order ADER methods with space--time adaptive grids in two and three space dimensions is likely to become a useful tool in several fields of computational physics, applied mathematics and mechanics.Comment: With updated bibliography informatio

    La vivienda digna en el Pacto Internacional de Derechos, Econ贸micos, Sociales y Culturales (PIDESC) y su cumplimiento en Colombia

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    Art铆culo de reflexi贸nLa vivienda digna en Colombia es un instrumento que permite salvaguardar una serie de derechos fundamentales debido a que su noci贸n representa un concepto que supera lo material, convirti茅ndose en esencial para el desarrollo social, personal y familiar de los individuos que componen a la sociedad.INTRODUCCI脫N 1. La vivienda dentro del Pacto Internacional de Derechos Econ贸micos, Sociales y Culturales (PIDESC). 2. La vivienda digna como derecho fundamental en Colombia. 3. Cumplimiento del Pacto Internacional de Derechos Econ贸micos, Sociales y Culturales con referencia a la vivienda digna en Colombia. 4. Factores que originan el d茅ficit de satisfacci贸n del derecho a la vivienda digna. Conclusiones. ReferenciasPregradoAbogad

    High Order Space-Time Adaptive WENO Finite Volume Schemes for Non-Conservative Hyperbolic Systems

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    We present a class of high order finite volume schemes for the solution of non-conservative hyperbolic systems that combines the one-step ADER-WENO finite volume approach with space-time adaptive mesh refinement (AMR). The resulting algorithm, which is particularly well suited for the treatment of material interfaces in compressible multi-phase flows, is based on: (i) high order of accuracy in space obtained through WENO reconstruction, (ii) a high order one-step time discretization via a local space-time discontinuous Galerkin predictor method, and (iii) the use of a path conservative scheme for handling the non-conservative terms of the equations. The AMR property with time accurate local time stepping, which has been treated according to a 'cell-by-cell' strategy, strongly relies on the high order one-step time discretization, which naturally allows a high order accurate and consistent computation of the jump terms at interfaces between elements using different time steps. The new scheme has been successfully validated on some test problems for the Baer-Nunziato model of compressible multiphase flows.Comment: Submitted to Comput. Methods Appl. Mech. Engr

    Development of a quantitative assessment approach for the coal and gas outbursts in coal mines using rock engineering systems

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    In this study, a new approach is proposed and developed for evaluating the comprehensive outburst index (range between 0 and 100), which is a quantitative assessment approach and will enable us to better understand the risk degree of coal and gas outburst in coal mines. By selecting some typical risk-free and high-risk outburst mines from China as the evaluation targets, we assessed their comprehensive outburst indexes with the developed approach. The assessment results are fully consistent with the actual situations, which indicates that our new developed approach is reliable and can be recommended for applying in more coal mines

    M茅todos ADER-WENO en vol煤menes finitos aplicados a la resoluci贸n de problemas hiperb贸licos en mallados con refinamiento adaptativo.

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    Motivation. Mathematical formulation. WENO reconstruction. Local-Space time DG. Adaptive Mesh Refinement. Numerical example

    Numerical simulation of a climate model with latent heat of fusion

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    Physical problem. Mathematical model. Numerical approximation. Numerical examples. Conclusions and further research
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