Immersed Boundary Method for Variable Viscosity and Variable Density Problems Using Fast Constant-Coefficient Linear Solvers I: Numerical Method and Results

@article{Fai2013ImmersedBM,
  title={Immersed Boundary Method for Variable Viscosity and Variable Density Problems Using Fast Constant-Coefficient Linear Solvers I: Numerical Method and Results},
  author={Thomas G. Fai and Boyce E. Griffith and Yoichiro Mori and Charles S. Peskin},
  journal={SIAM J. Scientific Computing},
  year={2013},
  volume={35}
}
We present a general variable viscosity and variable density immersed boundary method that is first-order accurate in the variable density case and, for problems possessing sufficient regularity, second-order accurate in the constant density case. The viscosity and density are considered material properties and are defined by a dynamically updated tesselation. Empirical convergence rates are reported for a test problem of a two-dimensional viscoelastic shell with spatially varying material… CONTINUE READING

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References

Publications referenced by this paper.
SHOWING 1-10 OF 61 REFERENCES

Mechanics and thermodynamics of biomembranes: part 1.

  • CRC critical reviews in bioengineering
  • 1979
VIEW 6 EXCERPTS
HIGHLY INFLUENTIAL