Moving particle semi-implicit method

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The moving particle semi-implicit (MPS) method is a computational method for the simulation of

mesh-free method
) developed by Koshizuka and Oka (1996).

Method

The MPS method is used to solve the Navier-Stokes equations in a Lagrangian framework. A fractional step method is applied which consists of splitting each time step in two steps of prediction and correction. The fluid is represented with particles, and the motion of each particle is calculated based on the interactions with the neighboring particles by means of a kernel function.

weighted averaging process without taking the gradient
of a kernel function. In addition, the solution process of MPS method differs to that of the original SPH method as the solutions to the PDEs are obtained through a semi-implicit prediction-correction process rather than the fully explicit one in original SPH method.

Applications

Through the past years, the MPS method has been applied in a wide range of engineering applications including Nuclear Engineering (e.g. Koshizuka et al., 1999; Koshizuka and Oka, 2001; Xie et al., 2005), Coastal Engineering (e.g. Gotoh et al., 2005; Gotoh and Sakai, 2006), Environmental Hydraulics (e.g. Shakibaeina and Jin, 2009; Nabian and Farhadi, 2016), Ocean Engineering (Shibata and Koshizuka, 2007; Sueyoshi et al., 2008; Zuo et al. 2022), Structural Engineering (e.g. Chikazawa et al., 2001), Mechanical Engineering (e.g. Heo et al., 2002; Sun et al., 2009), Bioengineering (e.g. Tsubota et al., 2006) and Chemical Engineering (e.g. Sun et al., 2009; Xu and Jin, 2018).

Improvements

Improved versions of MPS method have been proposed for enhancement of numerical stability (e.g. Koshizuka et al., 1998; Zhang et al., 2005; Ataie-Ashtiani and Farhadi, 2006;Shakibaeina and Jin, 2009; Jandaghian and Shakibaeinia, 2020), momentum conservation (e.g. Hamiltonian MPS by Suzuki et al., 2007; Corrected MPS by Khayyer and Gotoh, 2008; Enhanced MPS by Jandaghian and Shakibaeinia, 2020), mechanical energy conservation (e.g. Hamiltonian MPS by Suzuki et al., 2007), pressure calculation (e.g. Khayyer and Gotoh, 2009, Kondo and Koshizuka, 2010, Khayyer and Gotoh, 2010, Xu and Jin, 2019), and for simulation of multiphase and granular flows (Nabian and Farhadi 2016; Xu and Jin, 2021; Xu and Li, 2022).

References

Specific
  1. doi:10.1061/(asce)hy.1943-7900.0001275
    .
  2. ISBN 978-0-7918-4624-7
    .
  3. ISBN 978-0-7918-4954-5
    .

External links
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