polishing
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@ -1301,9 +1301,9 @@ subroutine integrateStateAdaptiveEuler(todo)
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end subroutine integrateStateAdaptiveEuler
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end subroutine integrateStateAdaptiveEuler
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!--------------------------------------------------------------------------------------------------
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!---------------------------------------------------------------------------------------------------
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!> @brief integrate stress, state with 4th order explicit Runge Kutta method
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!> @brief Integrate state (including stress integration) with the classig Runge Kutta method
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!--------------------------------------------------------------------------------------------------
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!---------------------------------------------------------------------------------------------------
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subroutine integrateStateRK4(todo)
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subroutine integrateStateRK4(todo)
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logical, dimension(:,:,:), intent(in) :: todo
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logical, dimension(:,:,:), intent(in) :: todo
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@ -1312,22 +1312,20 @@ subroutine integrateStateRK4(todo)
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A = reshape([&
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A = reshape([&
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0.5_pReal, 0.0_pReal, 0.0_pReal, &
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0.5_pReal, 0.0_pReal, 0.0_pReal, &
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0.0_pReal, 0.5_pReal, 0.0_pReal, &
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0.0_pReal, 0.5_pReal, 0.0_pReal, &
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0.0_pReal, 0.0_pReal, 1.0_pReal], &
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0.0_pReal, 0.0_pReal, 1.0_pReal],[3,3])
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[3,3])
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real(pReal), dimension(3), parameter :: &
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real(pReal), dimension(3), parameter :: &
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CC = [0.5_pReal, 0.5_pReal, 1.0_pReal] ! factor giving the fraction of the original timestep used for Runge Kutta Integration
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C = [0.5_pReal, 0.5_pReal, 1.0_pReal]
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real(pReal), dimension(4), parameter :: &
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real(pReal), dimension(4), parameter :: &
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B = [1.0_pReal/6.0_pReal, 1.0_pReal/3.0_pReal, 1.0_pReal/3.0_pReal, 1.0_pReal/6.0_pReal] ! weight of slope used for Runge Kutta integration (final weight divided by 6)
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B = [1.0_pReal/6.0_pReal, 1.0_pReal/3.0_pReal, 1.0_pReal/3.0_pReal, 1.0_pReal/6.0_pReal]
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call integrateStateRK(todo,A,B,CC)
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call integrateStateRK(todo,A,B,C)
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end subroutine integrateStateRK4
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end subroutine integrateStateRK4
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!--------------------------------------------------------------------------------------------------
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!---------------------------------------------------------------------------------------------------
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!> @brief integrate stress, state with 5th order Runge-Kutta Cash-Karp method with
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!> @brief Integrate state (including stress integration) with the Cash-Carp method
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!> adaptive step size (use 5th order solution to advance = "local extrapolation")
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!---------------------------------------------------------------------------------------------------
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!--------------------------------------------------------------------------------------------------
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subroutine integrateStateRKCK45(todo)
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subroutine integrateStateRKCK45(todo)
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logical, dimension(:,:,:), intent(in) :: todo
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logical, dimension(:,:,:), intent(in) :: todo
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@ -1339,21 +1337,20 @@ subroutine integrateStateRKCK45(todo)
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.0_pReal, .0_pReal, 1.2_pReal, -70.0_pReal/27.0_pReal, 575.0_pReal/13824.0_pReal, &
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.0_pReal, .0_pReal, 1.2_pReal, -70.0_pReal/27.0_pReal, 575.0_pReal/13824.0_pReal, &
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.0_pReal, .0_pReal, .0_pReal, 35.0_pReal/27.0_pReal, 44275.0_pReal/110592.0_pReal, &
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.0_pReal, .0_pReal, .0_pReal, 35.0_pReal/27.0_pReal, 44275.0_pReal/110592.0_pReal, &
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.0_pReal, .0_pReal, .0_pReal, .0_pReal, 253.0_pReal/4096.0_pReal], &
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.0_pReal, .0_pReal, .0_pReal, .0_pReal, 253.0_pReal/4096.0_pReal], &
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[5,5], order=[2,1]) !< coefficients in Butcher tableau (used for preliminary integration in stages 2 to 6)
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[5,5], order=[2,1])
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real(pReal), dimension(6), parameter :: &
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real(pReal), dimension(6), parameter :: &
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B = &
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B = &
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[37.0_pReal/378.0_pReal, .0_pReal, 250.0_pReal/621.0_pReal, &
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[37.0_pReal/378.0_pReal, .0_pReal, 250.0_pReal/621.0_pReal, &
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125.0_pReal/594.0_pReal, .0_pReal, 512.0_pReal/1771.0_pReal], & !< coefficients in Butcher tableau (used for final integration and error estimate)
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125.0_pReal/594.0_pReal, .0_pReal, 512.0_pReal/1771.0_pReal], &
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DB = B - &
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DB = B - &
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[2825.0_pReal/27648.0_pReal, .0_pReal, 18575.0_pReal/48384.0_pReal,&
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[2825.0_pReal/27648.0_pReal, .0_pReal, 18575.0_pReal/48384.0_pReal,&
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13525.0_pReal/55296.0_pReal, 277.0_pReal/14336.0_pReal, 0.25_pReal] !< coefficients in Butcher tableau (used for final integration and error estimate)
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13525.0_pReal/55296.0_pReal, 277.0_pReal/14336.0_pReal, 0.25_pReal]
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real(pReal), dimension(5), parameter :: &
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real(pReal), dimension(5), parameter :: &
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CC = [0.2_pReal, 0.3_pReal, 0.6_pReal, 1.0_pReal, 0.875_pReal] !< coefficients in Butcher tableau (fractions of original time step in stages 2 to 6)
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C = [0.2_pReal, 0.3_pReal, 0.6_pReal, 1.0_pReal, 0.875_pReal]
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call integrateStateRK(todo,A,B,CC,DB)
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call integrateStateRK(todo,A,B,C,DB)
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end subroutine integrateStateRKCK45
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end subroutine integrateStateRKCK45
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