compressible_ops_cpu.f90

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module compressible_ops_cpu
  use num_types, only : rp
  implicit none
  private
 
  public :: compressible_ops_cpu_compute_max_wave_speed, &
       compressible_ops_cpu_compute_entropy, compressible_ops_cpu_update_uvw, &
       compressible_ops_cpu_update_mxyz_p_ruvw, compressible_ops_cpu_update_e
 
 
contains
 
  subroutine compressible_ops_cpu_compute_max_wave_speed(max_wave_speed, &
       u, v, w, gamma, p, rho, n)
    integer, intent(in) :: n
    real(kind=rp), intent(in) :: gamma
    real(kind=rp), dimension(n), intent(in) :: u, v, w, p, rho
    real(kind=rp), dimension(n), intent(inout) :: max_wave_speed
    integer :: i
    real(kind=rp) :: vel_mag, sound_speed
 
    ! Compute maximum wave speed:
    ! |u| + c = sqrt(u^2 + v^2 + w^2) + sqrt(gamma * p / rho)
    do concurrent(i = 1:n)
       vel_mag = sqrt(u(i)*u(i) + v(i)*v(i) + w(i)*w(i))
       sound_speed = sqrt(gamma * p(i) / rho(i))
       max_wave_speed(i) = vel_mag + sound_speed
    end do
 
  end subroutine compressible_ops_cpu_compute_max_wave_speed
 
  subroutine compressible_ops_cpu_compute_entropy(S, p, rho, gamma, n)
    integer, intent(in) :: n
    real(kind=rp), intent(in) :: gamma
    real(kind=rp), dimension(n), intent(in) :: p, rho
    real(kind=rp), dimension(n), intent(inout) :: s
    integer :: i
 
    ! Compute entropy: S = 1/(gamma-1) * rho * (log(p) - gamma * log(rho))
    do concurrent(i = 1:n)
       s(i) = (1.0_rp / (gamma - 1.0_rp)) * rho(i) * &
            (log(p(i)) - gamma * log(rho(i)))
    end do
 
  end subroutine compressible_ops_cpu_compute_entropy
 
  subroutine compressible_ops_cpu_update_uvw(u, v, w, m_x, m_y, m_z, rho, n)
    integer, intent(in) :: n
    real(kind=rp), dimension(n), intent(inout) :: u, v, w
    real(kind=rp), dimension(n), intent(in) :: m_x, m_y, m_z, rho
    integer :: i
 
    do concurrent(i = 1:n)
       u(i) = m_x(i) / rho(i)
       v(i) = m_y(i) / rho(i)
       w(i) = m_z(i) / rho(i)
    end do
 
  end subroutine compressible_ops_cpu_update_uvw
 
  subroutine compressible_ops_cpu_update_mxyz_p_ruvw(m_x, m_y, m_z, p, ruvw, &
       u, v, w, E, rho, gamma, n)
    integer, intent(in) :: n
    real(kind=rp), dimension(n), intent(inout) :: m_x, m_y, m_z, p, ruvw
    real(kind=rp), dimension(n), intent(in) :: u, v, w, e, rho
    real(kind=rp), intent(in) :: gamma
    real(kind=rp) :: tmp
    integer :: i
 
    do concurrent(i = 1:n)
       m_x(i) = u(i) * rho(i)
       m_y(i) = v(i) * rho(i)
       m_z(i) = w(i) * rho(i)
    end do
 
    !Update p = (gamma - 1) * (E - 0.5 * rho * (u^2 + v^2 + w^2))
    do concurrent(i = 1:n)
       tmp = 0.5_rp * rho(i) * (u(i)**2 + v(i)**2 + w(i)**2)
       p(i) = (gamma - 1.0_rp) * (e(i) - tmp)
       ruvw(i) = tmp
    end do
 
  end subroutine compressible_ops_cpu_update_mxyz_p_ruvw
 
  subroutine compressible_ops_cpu_update_e(E, p, ruvw, gamma, n)
    integer, intent(in) :: n
    real(kind=rp), dimension(n), intent(inout) :: e, p
    ! ruvw = 0.5 * rho * (u^2 + v^2 + w^2)
    real(kind=rp), dimension(n), intent(in) :: ruvw
    real(kind=rp), intent(in) :: gamma
    integer :: i
 
 
    do concurrent(i = 1:n)
       ! Ensure pressure is positive
       p(i) = max(p(i), 1.0e-12_rp)
       ! E = p / (gamma - 1) + 0.5 * rho * (u^2 + v^2 + w^2)
       e(i) = p(i) * (1.0_rp / (gamma - 1.0_rp)) + ruvw(i)
    end do
  end subroutine compressible_ops_cpu_update_e
 
end module compressible_ops_cpu