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Solving Linear Wave Equation Using a Finite-Volume Method in Time Domain on Unstructured Computational Grids

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Advanced Technologies, Systems, and Applications III (IAT 2018)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 59))

Abstract

In this paper, numerical solving second-order wave equation using a cell-centered finite-volume method with collocated variable arrangement on unstructured computational grids in spatial domains of arbitrary shape is discussed. A second-order accurate technique is used for discretization of spatial derivatives. Two different discretization schemes for approximation of the time derivative are employed and tested within an implicit method for time integration. Application of the numerical method is demonstrated in three simple examples.

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Authors and Affiliations

  1. Mechanical Engineering Faculty, University of Sarajevo, Vilsonovo šetalište 9, 71000, Sarajevo, Bosnia-Herzegovina

    Muris Torlak & Vahidin Hadžiabdić

Authors
  1. Muris Torlak
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  2. Vahidin Hadžiabdić
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Corresponding author

Correspondence to Muris Torlak .

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Editors and Affiliations

  1. Faculty of Electrical Engineering, University of Sarajevo, Sarajevo, Bosnia and Herzegovina

    Samir Avdaković

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Torlak, M., Hadžiabdić, V. (2019). Solving Linear Wave Equation Using a Finite-Volume Method in Time Domain on Unstructured Computational Grids. In: Avdaković, S. (eds) Advanced Technologies, Systems, and Applications III. IAT 2018. Lecture Notes in Networks and Systems, vol 59. Springer, Cham. https://doi.org/10.1007/978-3-030-02574-8_28

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