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Kinetic flux vector splitting scheme for solving non-reactive multi-component flows.

Muhammad Saqib1, Attia Rabbani1, Ubaid Ahmed Nisar2

  • 1Department of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad, Pakistan.

Computational Biology and Chemistry
|September 23, 2019
PubMed
Summary
This summary is machine-generated.

This study numerically investigates multi-component flow models using the Kinetic Flux Vector Splitting (KFVS) scheme. The KFVS scheme demonstrates efficiency in handling complex flow phenomena for aerospace vehicle design.

Keywords:
Finite volumeKFVSMulti-component flows

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Area of Science:

  • Aerospace Engineering
  • Computational Fluid Dynamics
  • Fluid Mechanics

Background:

  • Multi-component flow is crucial for aerospace applications, particularly during spacecraft reentry.
  • Accurate modeling of these flows is essential for effective vehicle design.
  • Previous work utilized a central scheme for homogeneous multi-component flow.

Purpose of the Study:

  • To numerically investigate one- and two-dimensional homogeneous multi-component flow models.
  • To evaluate the efficiency of the Kinetic Flux Vector Splitting (KFVS) scheme.
  • To compare KFVS results with those obtained from a central scheme.

Main Methods:

  • Numerical investigation of one- and two-dimensional homogeneous multi-component flow.
  • Application of the high-resolution Kinetic Flux Vector Splitting (KFVS) scheme.
  • Utilized Runge-Kutta time stepping with MUSCL-type initial reconstruction for higher accuracy.

Main Results:

  • The KFVS scheme preserves positivity conditions.
  • The KFVS scheme effectively resolves shocks, rarefaction waves, and contact discontinuities.
  • Comparison with the central scheme verifies the efficiency of the KFVS scheme.

Conclusions:

  • The Kinetic Flux Vector Splitting scheme is an efficient and robust method for simulating multi-component flows.
  • This scheme offers advantages in accurately capturing discontinuities relevant to aerospace vehicle design.
  • The study validates the KFVS scheme against established methods for homogeneous multi-component flow.