GfsRefine

From Gerris

GfsRefine is typically used to define the number of initial refinement levels.

The syntax in parameter files is as follows:

GfsRefine [ GfsFunction ]

Examples

• B\'enard--von K\'arm\'an Vortex Street for flow around a cylinder at Re=160

  Refine 6

• Vortex street around a "heated" cylinder

  Refine 6

• Rayleigh-Taylor instability

  Refine 7

• Turbulent air flow around RV Tangaroa

  Refine 5

• Coalescence of a pair of Gaussian vortices (Gerris logo)

    Refine 6

    Refine (sqrt(x*x + y*y) < 0.0625 ? 12 : 6)

• Lunar tides in Cook Strait, New Zealand

    Refine 6

• "Garden sprinkler effect" in wave model

    Refine 6

• Convergence of the Poisson solver

  Refine LEVEL

• Convergence with a refined circle

  Refine (x*x + y*y <= 0.25*0.25 ? LEVEL + 2 : LEVEL)

• Convergence of the Poisson solver with solid boundaries

  Refine LEVEL

• Star-shaped solid boundary with refinement

    Refine LEVEL

• Star-shaped solid boundary

    Refine LEVEL

• Thin wall at box boundary

  Refine LEVEL

• Poisson solution in a dumbbell-shaped domain

  Refine 3

• Convergence of the Godunov advection scheme

  Refine LEVEL

• Time-reversed VOF advection in a shear flow

    Refine 8

• Time-reversed advection with curvature-based refinement

    Refine 8

• Estimation of the numerical viscosity

  Refine LEVEL

• Estimation of the numerical viscosity with refined box

  Refine (x > 0.25 || x < -0.25 || y > 0.25 || y < -0.25 ? LEVEL : LEVEL + 1)

• Convergence for a simple periodic problem

  Refine (x < -0.25 || x > 0.25 || y < -0.25 || y > 0.25 ? LEVEL : LEVEL + BOX)

• Convergence for the three-way vortex merging problem

  Refine {
    double r = sqrt(x*x + y*y);
    switch (LEVEL) {
    case 6: return r > 0.25 ? 4 : r > 0.15 ? 5 : 6;
    case 7: return r > 0.25 ? 4 : r > 0.2 ? 5 : r > 0.15 ? 6 : 7;
    case 8: return r > 0.25 ? 4 : r > 0.2 ? 5 : r > 0.175 ? 6 : r > 0.15 ? 7 : 8;
    case 9: return r > 0.25 ? 4 : r > 0.2 ? 5 : r > 0.175 ? 6 : r > 0.1625 ? 7 : r > 0.15 ? 8 : 9;
    }
  }

• Potential flow around a sphere

    Refine 4

    Refine (LEVEL + 1./50.*(x*x + y*y)*(4. - LEVEL))

• Viscous flow past a sphere

    Refine 4

    Refine (LEVEL + 1./50.*(x*x + y*y)*(4. - LEVEL))

• Mass conservation

    Refine 6

• Mass conservation with solid boundary

    Refine (x < 0. ? 7 : 8)

• Lid-driven cavity at Re=1000

  Refine 6

• Lid-driven cavity at Re=1000 (explicit scheme)

  Refine 6

• Poiseuille flow

    Refine LEVEL

• Creeping Couette flow of Generalised Newtonian fluids

  Refine 6

• Momentum conservation for large density ratios

    Refine level

• Hydrostatic balance with solid boundaries and viscosity

    Refine 3

• Hydrostatic balance with quadratic pressure profile

    Refine 3

• Convergence of a potential flow solution

    Refine LEVEL

• Flow through a divergent channel

    Refine LEVEL

• Potential flow around a thin plate

  Refine 5

• Circular droplet in equilibrium

  Refine LEVEL

• Axisymmetric spherical droplet in equilibrium

  Refine LEVEL

• Planar capillary waves

  Refine floor(LEVEL + 1 - (LEVEL - 2)*fabs(y)/1.5)

• Air-Water capillary wave

  Refine floor(LEVEL + 1 - (LEVEL - 2)*fabs(y)/1.5)

• Fluids of different densities

  Refine floor(LEVEL + 1 - (LEVEL - 2)*fabs(y)/1.5)

• Pure gravity wave

  Refine LEVEL

• Shape oscillation of an inviscid droplet

    Refine LEVEL

• Geostrophic adjustment

  Refine 6

• Geostrophic adjustment on a beta-plane

  Refine 6

• Coastally-trapped waves

  Refine LEVEL

• Coastally-trapped waves with adaptive refinement

  Refine LEVEL

• Gravity waves in a realistic ocean basin

    Refine 6