On the Use of Monotonicity-Preserving Interpolatory Techniques in Multilevel Schemes for Balance Laws

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外文摘要：Cost-effective multilevel techniques for homogeneous hyperbolic conservation laws are very successful in reducing the computational cost associated to high resolution shock cap-turing numerical schemes.Because they do not involve any special data structure,and do not induce savings in memory requirements,they are easily implemented on existing codes and are recommended for 1D and 2D simulations when intensive testing is required.The multilevel technique can also be applied to balance laws,but in this case,numerical errors may be induced by the technique.We present a series of numerical tests that point out that the use of monotonicity-preserving interpolatory techniques eliminates the numerical errors observed when using the usual 4-point centered Lagrange interpolation,and leads to a more robust multilevel code for balance laws,while maintaining the efficiency rates observed for hyperbolic conservation laws.

外文关键词：

Hyperbolic balance lawsWell-balanced schemesMultilevel schemesHarten's multiresolution

作者：

Antonio Baeza、Rosa Donat、Anna Martínez-Gavara

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作者单位：

Department de Matemàtiques,Universitat de València,Dr.Moliner,50,46100 Burjassot,Valencia,Spain

Department d'Estadistica i Investigació Operativa,Universitat de València,Dr.Moliner,50,46100 Burjassot,Valencia,Spain

基金：

Open Access funding provided thanks to the CRUE-CSIC agreement with Springer NatureMCIN/AEI/10.13039/501100011033Generalitat Valenciana.A.Martínez-GavaraMinisterio de Ciencia e Innovación of SpainMCIN/AEI/10.13039/501100011033/FEDER,UEGeneralitat Valenciana

项目编号：

PID2020-117211GB-I00CIAICO/2021/227PID2021-125709OB-C21CIAICO/2021/224

出版年：

2024

DOI：

10.1007/s42967-023-00332-3

应用数学与计算数学学报

上海大学

应用数学与计算数学学报

影响因子：0.165

ISSN：1006-6330

年,卷(期)：2024.6(2)