A fourth-order accurate adaptive solver for incompressible flow problems
نویسندگان
چکیده
We present a numerical solver for the incompressible Navier–Stokes equations that combines fourth-order-accurate discrete approximations and an adaptive tree grid (i.e. h-refinement). The scheme employs novel compact-upwind advection 4th-order accurate projection algorithm whereby solution exactly satisfies incompressibility constraint. Further, we introduce new refinement indicator is tailored to this solver. show tests examples illustrate consistency, convergence rate application combination of proposed adaptation result in fourth-order rates whilst only tuning single grid-refinement parameter. speed performance benchmarked against well-established second-order alternative. conclude 4th order efficient design problems with strong localization spatial-temporal domain where high degree statistics desired.
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ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2022
ISSN: ['1090-2716', '0021-9991']
DOI: https://doi.org/10.1016/j.jcp.2022.111251