Paper doi abstract bibtex

The major objective of this work is to develop an efﬁcient Finite Element Analysis (FEA) procedure to simulate wave propagation in air-ﬁlled pipes accurately. The development of such a simulation technique is essential in the study of wave propagation in pipe networks such as oil and gas pipelines and urban water distribution networks. While numerical analysis using FEA seems superﬁcially straight forward, this paper demonstrates that the element type and reﬁnement used for acoustic FEA have a signiﬁcant effect on the accuracy of the result achieved and the efﬁciency of the computation. In particular, it is shown that the well-known, better overall performance achieved with 3D solid hexahedral elements in comparison with 2D-type elements in most stress and thermal applications does not occur with acoustic analysis. In this paper, FEA models were developed taking into account the inﬂuence of element type and sizes using 2D-like and 3D element formulations, as well as linear and quadratic nodal interpolations. Different mesh sizes, ranging from large to very small acoustic wavelengths, were considered. The simulation scheme was veriﬁed using the Time of Flight approach to derive the predicted acoustic wave velocity which was compared with the true acoustic wave velocity, based on the input bulk modulus and density of air. For ﬁnite element sizes of the same order as acoustic wavelengths which correspond to acoustic frequencies between 1 kHz and 1 MHz, the errors associated with the predictions based on the 3D solid hexahedral acoustic elements were mostly greater than 15%. However, for the same element sizes, the errors associated with the predictions based on the 2D-like axisymmetric solid acoustic elements were mostly less than 2%. This indicates that the 2D-like axisymmetric solid acoustic elements are much more efﬁcient than the 3D hexahedral acoustic elements in predicting acoustic wave propagation in air-ﬁlled pipes, as they give higher accuracies and are less computationally intensive. In most stress and thermal FEA, the 3D solid hexahedral elements are much more efﬁcient than 2D-type elements. However, for acoustic FEA, the results show that 2D-like axisymmetric elements are much more efﬁcient than 3D solid hexahedral elements.

@article{abdullahi_acoustic_2018, title = {Acoustic {Wave} {Propagation} in {Air}-{Filled} {Pipes} {Using} {Finite} {Element} {Analysis}}, volume = {8}, issn = {2076-3417}, url = {http://www.mdpi.com/2076-3417/8/8/1318}, doi = {10.3390/app8081318}, abstract = {The major objective of this work is to develop an efﬁcient Finite Element Analysis (FEA) procedure to simulate wave propagation in air-ﬁlled pipes accurately. The development of such a simulation technique is essential in the study of wave propagation in pipe networks such as oil and gas pipelines and urban water distribution networks. While numerical analysis using FEA seems superﬁcially straight forward, this paper demonstrates that the element type and reﬁnement used for acoustic FEA have a signiﬁcant effect on the accuracy of the result achieved and the efﬁciency of the computation. In particular, it is shown that the well-known, better overall performance achieved with 3D solid hexahedral elements in comparison with 2D-type elements in most stress and thermal applications does not occur with acoustic analysis. In this paper, FEA models were developed taking into account the inﬂuence of element type and sizes using 2D-like and 3D element formulations, as well as linear and quadratic nodal interpolations. Different mesh sizes, ranging from large to very small acoustic wavelengths, were considered. The simulation scheme was veriﬁed using the Time of Flight approach to derive the predicted acoustic wave velocity which was compared with the true acoustic wave velocity, based on the input bulk modulus and density of air. For ﬁnite element sizes of the same order as acoustic wavelengths which correspond to acoustic frequencies between 1 kHz and 1 MHz, the errors associated with the predictions based on the 3D solid hexahedral acoustic elements were mostly greater than 15\%. However, for the same element sizes, the errors associated with the predictions based on the 2D-like axisymmetric solid acoustic elements were mostly less than 2\%. This indicates that the 2D-like axisymmetric solid acoustic elements are much more efﬁcient than the 3D hexahedral acoustic elements in predicting acoustic wave propagation in air-ﬁlled pipes, as they give higher accuracies and are less computationally intensive. In most stress and thermal FEA, the 3D solid hexahedral elements are much more efﬁcient than 2D-type elements. However, for acoustic FEA, the results show that 2D-like axisymmetric elements are much more efﬁcient than 3D solid hexahedral elements.}, language = {en}, number = {8}, urldate = {2020-02-07}, journal = {Applied Sciences}, author = {Abdullahi, Mustapha and Oyadiji, S}, month = aug, year = {2018}, pages = {1318}, }

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