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ndevelder authored Jun 27, 2023
2 parents 0aa5d23 + 4b71037 commit 9537522
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59 changes: 59 additions & 0 deletions amr-wind/boundary_conditions/wall_models/LogLaw.H
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@@ -0,0 +1,59 @@
#ifndef LogLaw_H
#define LogLaw_H

#include "AMReX_AmrCore.H"
#include <AMReX.H>
namespace amr_wind {
struct LogLaw
{
/*
* A simple wall model that sets the wall-shear stress
* based on computing u_tau given the horizontal velocity
* magnitude at a zref. This is akin to an explicit non-linear
* Robin boundary condition at the wall.
*/

// Log law constants from Lee & Moser 2015
// https://doi.org/10.1017/jfm.2015.268.
amrex::Real B{4.27};
amrex::Real kappa{0.384};
int max_iters = 25; // Max iterations for u_tau Newton-Raphson solve
// Reference height for log law
amrex::Real zref;
int ref_index{0};
amrex::Real nu; // molecular viscosity
// u_tau state variable, gets updated in update_utau depending on
// the type of wall model used
amrex::Real utau_mean{1.0};
amrex::Real wspd_mean; // mean horizontal velocity magnitude

void update_utau_mean() { utau_mean = get_utau(wspd_mean); }

AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE amrex::Real
get_utau(amrex::Real wspd) const
{
amrex::Real utau_iter = -1;
amrex::Real wspd_pred;
amrex::Real wspd_deriv;
amrex::Real zplus;
amrex::Real utau = utau_mean;
int iter = 0;
while ((std::abs(utau_iter - utau) > 1e-5) && iter <= max_iters) {
utau_iter = utau;
zplus = zref * utau / nu;
// Get wspd for a given utau from log-law
wspd_pred = utau * (std::log(zplus) / kappa + B);
wspd_deriv = (1 + std::log(zplus)) / kappa + B; // d(wspd)/d(utau)
utau =
utau - (wspd_pred - wspd) / wspd_deriv; // Newton-Raphson update
++iter;
}
if (iter == max_iters) {
amrex::Abort();
}
return utau;
}
};
} /* namespace amr_wind */

#endif /* LogLaw_H */
40 changes: 40 additions & 0 deletions amr-wind/boundary_conditions/wall_models/ShearStressSimple.H
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@@ -0,0 +1,40 @@
#ifndef SHEARSTRESSSIMPLE_H
#define SHEARSTRESSSIMPLE_H

#include "amr-wind/boundary_conditions/wall_models/LogLaw.H"
#include "amr-wind/wind_energy/ShearStress.H"

namespace amr_wind {

struct SimpleShearSchumann
{
explicit SimpleShearSchumann(const amr_wind::LogLaw& ll)
: utau2(ll.utau_mean * ll.utau_mean), wspd_mean(ll.wspd_mean), m_ll(ll)
{}

AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE amrex::Real
get_shear(amrex::Real u, amrex::Real /* wspd */) const
{
return u / wspd_mean * utau2;
};

amrex::Real utau2;
amrex::Real wspd_mean;
const amr_wind::LogLaw m_ll;
};
struct SimpleShearLogLaw
{
explicit SimpleShearLogLaw(const amr_wind::LogLaw& ll) : m_ll(ll) {}

AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE amrex::Real
get_shear(amrex::Real u, amrex::Real wspd) const
{
amrex::Real utau = m_ll.get_utau(wspd);
return utau * utau * u / wspd;
};

const amr_wind::LogLaw m_ll;
};
} // namespace amr_wind

#endif /* SHEARSTRESSSIMPLE_H */
26 changes: 21 additions & 5 deletions amr-wind/boundary_conditions/wall_models/WallFunction.H
Original file line number Diff line number Diff line change
Expand Up @@ -3,6 +3,8 @@

#include "amr-wind/CFDSim.H"
#include "amr-wind/core/FieldBCOps.H"
#include "amr-wind/utilities/FieldPlaneAveragingFine.H"
#include "amr-wind/boundary_conditions/wall_models/LogLaw.H"

namespace amr_wind {

Expand All @@ -16,9 +18,14 @@ namespace amr_wind {
class WallFunction
{
public:
explicit WallFunction(const CFDSim& sim);
explicit WallFunction(CFDSim& sim);

amrex::Real utau() const { return m_utau; }
amrex::Real utau() const { return m_log_law.utau_mean; }
LogLaw log_law() const { return m_log_law; }

//! Update the mean velocity at a given timestep
void update_umean();
void update_utau_mean();

~WallFunction() = default;

Expand All @@ -27,7 +34,10 @@ private:

const amrex::AmrCore& m_mesh;

amrex::Real m_utau{0.0};
//! LogLaw instance
LogLaw m_log_law;
int m_direction{2}; ///< Direction normal to wall, hardcoded to z
VelPlaneAveragingFine m_pa_vel;
};

/** Applies a shear-stress value at the domain boundary
Expand All @@ -38,15 +48,21 @@ private:
class VelWallFunc : public FieldBCIface
{
public:
VelWallFunc(Field& velocity, const WallFunction& wall_func);
VelWallFunc(Field& velocity, WallFunction& wall_func);

void operator()(Field& velocity, const FieldState rho_state) override;

static void wall_model(
Field& velocity, const FieldState rho_state, const amrex::Real utau);

template <typename ShearStressSimple>
static void wall_model(
Field& velocity,
const FieldState rho_state,
const ShearStressSimple& tau);

private:
const WallFunction& m_wall_func;
WallFunction& m_wall_func;
std::string m_wall_shear_stress_type{"constant"};
};
} // namespace amr_wind
Expand Down
137 changes: 130 additions & 7 deletions amr-wind/boundary_conditions/wall_models/WallFunction.cpp
Original file line number Diff line number Diff line change
@@ -1,4 +1,5 @@
#include "amr-wind/boundary_conditions/wall_models/WallFunction.H"
#include "amr-wind/boundary_conditions/wall_models/ShearStressSimple.H"
#include "amr-wind/utilities/tensor_ops.H"
#include "amr-wind/utilities/trig_ops.H"
#include "amr-wind/diffusion/diffusion.H"
Expand All @@ -11,37 +12,142 @@

namespace amr_wind {

WallFunction::WallFunction(const CFDSim& sim) : m_sim(sim), m_mesh(m_sim.mesh())
WallFunction::WallFunction(CFDSim& sim)
: m_sim(sim), m_mesh(m_sim.mesh()), m_pa_vel(sim, m_direction)
{
{
amrex::ParmParse pp("BodyForce");
amrex::Vector<amrex::Real> body_force{{0.0, 0.0, 0.0}};
pp.getarr("magnitude", body_force);
m_utau = std::sqrt(body_force[0]);
AMREX_ALWAYS_ASSERT_WITH_MESSAGE(
std::abs(body_force[1]) < 1e-16,
"body force in y should be zero for this wall function");
m_log_law.utau_mean = std::sqrt(std::sqrt(
body_force[0] * body_force[0] + body_force[1] * body_force[1]));
AMREX_ALWAYS_ASSERT_WITH_MESSAGE(
std::abs(body_force[2]) < 1e-16,
"body force in z should be zero for this wall function");
}
{
amrex::ParmParse pp("transport");
pp.query("viscosity", m_log_law.nu);
}
{
amrex::ParmParse pp("WallFunction");
// Reference height for log-law
if (pp.contains("log_law_ref_index")) {
pp.get("log_law_ref_index", m_log_law.ref_index);
}
const auto& geom = m_mesh.Geom(0);
m_log_law.zref =
(geom.ProbLo(m_direction) +
(m_log_law.ref_index + 0.5) * geom.CellSize(m_direction));
}
}

VelWallFunc::VelWallFunc(Field& /*unused*/, const WallFunction& wall_func)
VelWallFunc::VelWallFunc(Field& /*unused*/, WallFunction& wall_func)
: m_wall_func(wall_func)
{
amrex::ParmParse pp("WallFunction");
pp.query("wall_shear_stress_type", m_wall_shear_stress_type);
m_wall_shear_stress_type = amrex::toLower(m_wall_shear_stress_type);

if (m_wall_shear_stress_type == "constant") {
if (m_wall_shear_stress_type == "constant" ||
m_wall_shear_stress_type == "log_law" ||
m_wall_shear_stress_type == "schumann") {
amrex::Print() << "Shear Stress model: " << m_wall_shear_stress_type
<< std::endl;
} else {
amrex::Abort("Shear Stress wall model input mistake");
}
}

template <typename ShearStressSimple>
void VelWallFunc::wall_model(
Field& velocity, const FieldState rho_state, const ShearStressSimple& tau)
{
BL_PROFILE("amr-wind::VelWallFunc");
constexpr int idim = 2;
const auto& repo = velocity.repo();
const auto& density = repo.get_field("density", rho_state);
const auto& viscosity = repo.get_field("velocity_mueff");
const int nlevels = repo.num_active_levels();
const auto idx_offset = tau.m_ll.ref_index;

amrex::Orientation zlo(amrex::Direction::z, amrex::Orientation::low);
amrex::Orientation zhi(amrex::Direction::z, amrex::Orientation::high);
if ((velocity.bc_type()[zlo] != BC::wall_model) &&
(velocity.bc_type()[zhi] != BC::wall_model)) {
return;
}

for (int lev = 0; lev < nlevels; ++lev) {
const auto& geom = repo.mesh().Geom(lev);
const auto& domain = geom.Domain();
amrex::MFItInfo mfi_info{};

const auto& rho_lev = density(lev);
auto& vel_lev = velocity(lev);
auto& vold_lev = velocity.state(FieldState::Old)(lev);
const auto& eta_lev = viscosity(lev);

if (amrex::Gpu::notInLaunchRegion()) {
mfi_info.SetDynamic(true);
}
#ifdef AMREX_USE_OMP
#pragma omp parallel if (amrex::Gpu::notInLaunchRegion())
#endif
for (amrex::MFIter mfi(vel_lev, mfi_info); mfi.isValid(); ++mfi) {
const auto& bx = mfi.validbox();
auto varr = vel_lev.array(mfi);
auto vold_arr = vold_lev.array(mfi);
auto den = rho_lev.array(mfi);
auto eta = eta_lev.array(mfi);

if (bx.smallEnd(idim) == domain.smallEnd(idim) &&
velocity.bc_type()[zlo] == BC::wall_model) {
amrex::ParallelFor(
amrex::bdryLo(bx, idim),
[=] AMREX_GPU_DEVICE(int i, int j, int k) noexcept {
const amrex::Real mu = eta(i, j, k);
const amrex::Real uu =
vold_arr(i, j, k + idx_offset, 0);
const amrex::Real vv =
vold_arr(i, j, k + idx_offset, 1);
const amrex::Real wspd = std::sqrt(uu * uu + vv * vv);
// Dirichlet BC
varr(i, j, k - 1, 2) = 0.0;

// Shear stress BC
varr(i, j, k - 1, 0) =
tau.get_shear(uu, wspd) / mu * den(i, j, k);
varr(i, j, k - 1, 1) =
tau.get_shear(vv, wspd) / mu * den(i, j, k);
});
}

if (bx.bigEnd(idim) == domain.bigEnd(idim) &&
velocity.bc_type()[zhi] == BC::wall_model) {
amrex::ParallelFor(
amrex::bdryHi(bx, idim),
[=] AMREX_GPU_DEVICE(int i, int j, int k) noexcept {
const amrex::Real mu = eta(i, j, k - 1);
const amrex::Real uu =
vold_arr(i, j, k - 1 - idx_offset, 0);
const amrex::Real vv =
vold_arr(i, j, k - 1 - idx_offset, 1);
const amrex::Real wspd = std::sqrt(uu * uu + vv * vv);
// Dirichlet BC
varr(i, j, k, 2) = 0.0;

// Shear stress BC
varr(i, j, k, 0) =
-tau.get_shear(uu, wspd) / mu * den(i, j, k);
varr(i, j, k, 1) =
-tau.get_shear(vv, wspd) / mu * den(i, j, k);
});
}
}
}
}

void VelWallFunc::wall_model(
Field& velocity, const FieldState rho_state, const amrex::Real utau)
{
Expand Down Expand Up @@ -119,7 +225,24 @@ void VelWallFunc::operator()(Field& velocity, const FieldState rho_state)
{
if (m_wall_shear_stress_type == "constant") {
wall_model(velocity, rho_state, m_wall_func.utau());
} else if (m_wall_shear_stress_type == "log_law") {
m_wall_func.update_umean();
m_wall_func.update_utau_mean();
auto tau = SimpleShearLogLaw(m_wall_func.log_law());
wall_model(velocity, rho_state, tau);
} else if (m_wall_shear_stress_type == "schumann") {
m_wall_func.update_umean();
auto tau = SimpleShearSchumann(m_wall_func.log_law());
wall_model(velocity, rho_state, tau);
}
}

void WallFunction::update_umean()
{
m_pa_vel();
m_log_law.wspd_mean =
m_pa_vel.line_hvelmag_average_interpolated(m_log_law.zref);
}

void WallFunction::update_utau_mean() { m_log_law.update_utau_mean(); }
} // namespace amr_wind
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