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Improved Methodology for Mass Conservation in Sharp Interface Immersed Boundary Method for Moving Boundaries

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Fluid Mechanics and Fluid Power – Contemporary Research

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

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Abstract

Spurious pressure fluctuation and poor mass conservation are considered as the limitations of immersed boundary method (IBM). Over last decade, various implementations are developed to overcome these issues, which are usually mathematically involved and computationally expensive. In this paper, a simple and robust methodology has been proposed with good mass conservation property that results in smooth pressure fluctuations over moving surfaces. A simple quadratic interpolation/extrapolation scheme is used for reconstruction of solution at immersed and ghost nodes in. The proposed scheme has been implemented for fixed and moving three-dimensional boundaries and validated with available literature data. Overall second-order accuracy has been maintained. The achieved results show a second order accurate mass conservation. Spurious pressure fluctuations are also observed to disappear with mesh refinement.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Indian Institute of Technology Patna, Bihta, Patna, 801103, Bihar, India

    Manish Kumar &  Somnath Roy

Authors
  1. Manish Kumar
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  2. Somnath Roy
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Corresponding author

Correspondence to Somnath Roy .

Editor information

Editors and Affiliations

  1. Department of Mechanical Engineering, Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh, India

    Arun K. Saha

  2. Department of Aerospace Engineering, Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh, India

    Debopam Das

  3. Department of Civil Engineering, Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh, India

    Rajesh Srivastava

  4. Department of Mechanical Engineering, Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh, India

    P. K. Panigrahi

  5. Department of Mechanical Engineering, Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh, India

    K. Muralidhar

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Manish Kumar, Somnath Roy (2017). Improved Methodology for Mass Conservation in Sharp Interface Immersed Boundary Method for Moving Boundaries. In: Saha, A., Das, D., Srivastava, R., Panigrahi, P., Muralidhar, K. (eds) Fluid Mechanics and Fluid Power – Contemporary Research. Lecture Notes in Mechanical Engineering. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2743-4_31

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  • DOI: https://doi.org/10.1007/978-81-322-2743-4_31

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  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-2741-0

  • Online ISBN: 978-81-322-2743-4

  • eBook Packages: EngineeringEngineering (R0)

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