GfsRefine

From Gerris

GfsRefine is 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

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

    Refine 6

• Collapse of a column of grains

    Refine 6

• Turbulent air flow around RV Tangaroa

  Refine 5

• Savart--Plateau--Rayleigh instability of a water column

    Refine 5

• Atomisation of a pulsed liquid jet

    Refine (x < -0.5 + length && R2(y,z) < 2.*radius*radius ? level : 5)

• Forced isotropic turbulence in a triply-periodic box

  Refine 4

• Lunar tides in Cook Strait, New Zealand

    Refine 6

• Small amplitude solitary wave interacting with a parabolic hump

    Refine 8

• Shock reflection by a circular cylinder

    Refine 9

• Tsunami runup onto a complex three-dimensional beach

    Refine 6

• The 2004 Indian Ocean tsunami

    Refine 5

• "Garden sprinkler effect" in wave model

    Refine 6

• Cyclone-generated wave field

    Refine 4

• Convergence of the Poisson solver

  Refine LEVEL

• Convergence with a refined circle

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

• Dirichlet boundary condition

    Refine 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 of a VOF concentration

    Refine LEVEL

• Time-reversed advection with curvature-based refinement

    Refine 8

• Rotation of a straight interface

    Refine 3

• Comparison between the explicit and implicit diffusion schemes

    Refine 5

• Comparison between explicit and implicit diffusion schemes on concentration tracer

    Refine 5

• Conservation of diffusive tracer

    Refine 3

• 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)

• Numerical viscosity for the skew-symmetric scheme

  Refine LEVEL

• Numerical viscosity for the skew-symmetric scheme with refined box

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

• Numerical viscosity for vorticity/streamfunction formulation

  Refine LEVEL

• 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;
    }
  }

• Flow created by a cylindrical volume source

    Refine (LEVEL - 4*pow((x*x+y*y)/0.25, 0.5))

• 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)

• Boundary layer on a rotating disk

    Refine 5

• Lid-driven cavity at Re=1000

  Refine 6

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

  Refine 6

• Lid-driven cavity with a non-uniform metric

  Refine 6

• Lid-driven cavity on an anisotropic mesh

  Refine 6

• Poiseuille flow

    Refine LEVEL

• Bagnold flow of a granular material

    Refine LEVEL

• Poiseuille flow with metric

    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

• Coriolis formulation in 3-D

  Refine 2

• Wind-driven lake

    Refine 6

• Multi-layer Saint-Venant solver

    Refine LEVEL

• Wind-driven stratified lake

    Refine LEVEL

• Convergence of a potential flow solution

    Refine LEVEL

• Flow through a divergent channel

    Refine LEVEL

• Potential flow around a thin plate

  Refine 5

• Translation of an hexagon in a uniform flow

  Refine 7

• B\'enard--von K\'arm\'an vortex street behind a cylinder translating in a fluid at rest

  Refine {
      if (fabs(y) < 0.02 && x > 0.38 && x < 0.42)
	  return 11;
      if (fabs(y) < 0.35 && x > 0.3 && x < 0.5)
	  return 8;
      return 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

• Height-Function on parallel subdomains

    Refine 4

• Scalings for Plateau--Rayleigh pinchoff

   Refine 5

• Sessile drop

    Refine LEVEL

• Geostrophic adjustment

  Refine 6

• Geostrophic adjustment on a beta-plane

  Refine 6

• Geostrophic adjustment with Saint-Venant

  Refine 6

• Non-linear geostrophic adjustment

  Refine 6

• Coastally-trapped waves

  Refine LEVEL

• Coastally-trapped waves with adaptive refinement

  Refine LEVEL

• Gravity waves in a realistic ocean basin

    Refine 6

• Parabolic container with embedded solid

    Refine LEVEL

• Transcritical flow over a bump

    Refine LEVEL

• Transcritical flow with multiple layers

    Refine LEVEL

• Lake-at-rest balance in an inclined domain with cut cells

    Refine 5

• Lake-at-rest balance in an inclined domain with bipolar metric

    Refine 4

• Circular dam break on a sphere

    Refine 8

• Circular dam break on a rotating sphere

    Refine 8

• Circular dam break on a ``cubed sphere''

    Refine 8

• Advection of a cosine bell around the sphere

  Refine LEVEL

• Poisson problem with a pure spherical harmonics solution

  Refine LEVEL

• Spherical harmonics with longitude-latitude coordinates

  Refine LEVEL

• Poisson equation on a sphere with Gaussian forcing

  Refine LEVEL

• Gaussian forcing using longitude-latitude coordinates

  Refine LEVEL

• Creeping Couette flow between cylinders

    Refine LEVEL

• Creeping Couette flow between eccentric cylinders

  Refine LEVEL

• Flow between eccentric cylinders using bipolar coordinates

  Refine LEVEL

• Flow between eccentric cylinders on a stretched grid

  Refine LEVEL

• Rossby--Haurwitz wave

    Refine LEVEL

• Rossby--Haurwitz wave with a free surface

    Refine LEVEL

• Rossby--Haurwitz wave with Saint-Venant

    Refine LEVEL

• Dielectric-dieletric planar balance

    Refine 5

• Balance with solid boundaries

    Refine 5

• Relaxation of a charge bump

    Refine 7*(1. - 4.*(x*x + y*y))

• Simple example of groundwater flow following Darcy's law

    Refine LEVEL

• Groundwater flow with piecewise constant permeability

    Refine LEVEL