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Role of solution reconstruction in hypersonic viscous computations using a sharp interface immersed boundary method.

Shuvayan Brahmachary1, Ganesh Natarajan2, Vinayak Kulkarni3

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This summary is machine-generated.

This study develops a sharp interface immersed boundary method for hypersonic flows. It finds that while shear stress is accurate, heat flux prediction errors stem from reconstruction methods, not just grid resolution.

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Area of Science:

  • Computational Fluid Dynamics
  • Hypersonic Flow Physics
  • Numerical Methods

Background:

  • Accurate computation of wall shear and heat fluxes is critical for hypersonic flow analysis.
  • Immersed boundary (IB) methods offer flexibility in handling complex geometries but require careful validation for accuracy.

Purpose of the Study:

  • To develop and assess a sharp interface immersed boundary (IB) finite-volume (FV) method for viscous compressible hypersonic flows.
  • To investigate the accuracy of the IB-FV solver for computing wall shear and heat fluxes.
  • To identify and analyze the sources of error in heat flux predictions.

Main Methods:

  • Implementation of a sharp interface IB method within an unstructured Cartesian finite-volume framework.
  • Direct imposition of boundary conditions using a local reconstruction approach on nonconformal meshes.
  • Numerical investigation of canonical high-speed viscous flows across various Mach numbers.

Main Results:

  • The IB-FV solver accurately computes surface pressure and shear stress distributions.
  • Surface heat fluxes are underpredicted for aerodynamically blunt configurations.
  • Error analysis reveals that solution reconstruction, particularly temperature reconstruction, is a more significant source of heat flux underprediction than grid resolution.

Conclusions:

  • Existing polynomial-based reconstruction approaches in sharp interface IB methods are inadequate for accurate heat transfer predictions in high Reynolds number hypersonic flows.
  • Linear interpolations for temperature reconstruction can lead to significant errors in heat flux estimation.
  • Further development of reconstruction techniques is necessary for reliable heat transfer simulations in hypersonic regimes.