Add Fortran elastic-tube-1d solvers

changelog-entries/606.md

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+- Added Fortran solvers for the elastic-tube-1d tutorial (using the intrinsic Fortran bindings).

elastic-tube-1d/fluid-fortran/CMakeLists.txt

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+cmake_minimum_required(VERSION 3.10)
+project(ElasticTube LANGUAGES Fortran C)
+
+if(NOT CMAKE_BUILD_TYPE AND NOT CMAKE_CONFIGURATION_TYPES)
+  set(CMAKE_BUILD_TYPE "Debug" CACHE STRING "Choose the type of build." FORCE)
+  set_property(CACHE CMAKE_BUILD_TYPE PROPERTY STRINGS
+    "Debug" "Release" "MinSizeRel" "RelWithDebInfo")
+endif()
+message(STATUS "Build configuration: ${CMAKE_BUILD_TYPE}")
+
+# Add bounds check and warnings in debug build 
+if(CMAKE_BUILD_TYPE STREQUAL "Debug" AND CMAKE_Fortran_COMPILER_ID MATCHES "GNU")
+  set(CMAKE_Fortran_FLAGS "${CMAKE_Fortran_FLAGS} -Wall -Wextra -fbounds-check")
+endif()
+
+find_package(precice 3 REQUIRED CONFIG)
+find_package(LAPACK REQUIRED)
+
+add_executable(FluidSolver
+  src/FluidComputeSolution.f90
+  src/utilities.f90
+  src/FluidSolver.f90
+)
+
+target_link_libraries(FluidSolver PRIVATE precice::precice)
+target_link_libraries(FluidSolver PRIVATE ${LAPACK_LIBRARIES} ${LAPACK_LINKER_FLAGS})
+

elastic-tube-1d/fluid-fortran/clean.sh

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+#!/usr/bin/env sh
+set -e -u
+
+. ../../tools/cleaning-tools.sh
+
+rm -rvf ./output/*.vtk
+clean_precice_logs .
+clean_case_logs .

elastic-tube-1d/fluid-fortran/run.sh

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+#!/usr/bin/env bash
+set -e -u
+
+. ../../tools/log.sh
+exec > >(tee --append "$LOGFILE") 2>&1
+
+if [ ! -d build ]; then
+  mkdir build
+  cmake -S . -B build
+  cmake --build build
+fi
+
+mkdir -p output
+
+./build/FluidSolver ../precice-config.xml
+
+close_log

elastic-tube-1d/fluid-fortran/src/FluidComputeSolution.f90

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+module FluidComputeSolution
+    implicit none
+    integer, parameter :: dp = kind(1.0d0)
+
+contains
+
+    subroutine fluid_compute_solution(velocity_old, pressure_old, &
+        crossSectionLength_old, crossSectionLength, t, N, kappa, tau, &
+        velocity, pressure, info)
+
+        real(dp), intent(in) :: velocity_old(:), pressure_old(:)
+        real(dp), intent(in) :: crossSectionLength_old(:), crossSectionLength(:)
+        real(dp), intent(in) :: t
+        integer, intent(in) :: N
+        real(dp), intent(in) :: kappa, tau
+        real(dp), intent(inout) :: velocity(:), pressure(:)
+        integer, intent(out) :: info
+
+        ! Local variables
+        integer :: i, k
+        real(dp), parameter :: PI = 3.141592653589793_dp
+        real(dp), parameter :: e = 10000.0_dp
+        real(dp), parameter :: c_mk2 = e / 2.0_dp * sqrt(PI)
+        real(dp), parameter :: u0 = 10.0_dp, ampl = 3.0_dp, frequency = 10.0_dp, &
+                                t_shift = 0.0_dp
+        real(dp), parameter :: tolerance = 1.0e-15_dp
+        integer, parameter :: max_iterations = 50
+
+        real(dp) :: alpha, L, dx, velocity_in, tmp2, norm_1, norm_2, norm
+
+        ! LAPACK Variables
+        integer :: nlhs, nrhs
+        real(dp), allocatable :: Res(:)
+        real(dp), allocatable :: LHS(:, :)
+        integer, allocatable :: ipiv(:)
+
+        nlhs = 2*N + 2
+        nrhs = 1
+
+        ! Allocate arrays
+        allocate (Res(2*N + 2))
+        allocate (LHS(2*N + 2, 2*N + 2))
+        allocate (ipiv(nlhs))
+
+        velocity = velocity_old
+        pressure = pressure_old
+
+        ! Stabilization intensity
+        alpha = 0.0  !(N * kappa * tau) / (N * tau + 1);
+        L = 10.0
+        dx = L/kappa  !1.0 / (N * kappa);
+
+        ! Output status from dgesv (0 = success, < 0 = invalid argument, > 0 = singular matrix)
+        info = 0
+
+        ! Nonlinear solver loop
+        do k = 1, max_iterations
+            ! Initialize residual vector
+            Res = 0.0
+
+            ! Compute residuals
+            do i = 2, N  ! Adjusted for 1-based indexing
+                ! Momentum
+                Res(i) = (velocity_old(i)*crossSectionLength_old(i) - velocity(i)*crossSectionLength(i))*dx/tau
+                Res(i) = Res(i) + 0.25*(-crossSectionLength(i + 1)*velocity(i)*velocity(i + 1) - &
+                                        crossSectionLength(i)*velocity(i)*velocity(i + 1))
+                Res(i) = Res(i) + 0.25*(-crossSectionLength(i + 1)*velocity(i)**2 - &
+                                        crossSectionLength(i)*velocity(i)**2 + &
+                                        crossSectionLength(i)*velocity(i - 1)*velocity(i) + &
+                                        crossSectionLength(i - 1)*velocity(i - 1)*velocity(i))
+                Res(i) = Res(i) + 0.25*(crossSectionLength(i - 1)*velocity(i - 1)**2 + &
+                                        crossSectionLength(i)*velocity(i - 1)**2)
+                Res(i) = Res(i) + 0.25*(crossSectionLength(i - 1)*pressure(i - 1) + &
+                                        crossSectionLength(i)*pressure(i - 1) - &
+                                        crossSectionLength(i - 1)*pressure(i) + &
+                                        crossSectionLength(i + 1)*pressure(i) - &
+                                        crossSectionLength(i)*pressure(i + 1) - &
+                                        crossSectionLength(i + 1)*pressure(i + 1))
+
+                ! Continuity
+                Res(i + N + 1) = (crossSectionLength_old(i) - crossSectionLength(i))*dx/tau
+                Res(i + N + 1) = Res(i + N + 1) + 0.25*(crossSectionLength(i - 1)*velocity(i - 1) + &
+                                                crossSectionLength(i)*velocity(i - 1) + &
+                                                crossSectionLength(i - 1)*velocity(i) - &
+                                                crossSectionLength(i + 1)*velocity(i) - &
+                                                crossSectionLength(i)*velocity(i + 1) - &
+                                                crossSectionLength(i + 1)*velocity(i + 1))
+                Res(i + N + 1) = Res(i + N + 1) + alpha*(pressure(i - 1) - 2.0*pressure(i) + pressure(i + 1))
+            end do
+
+            ! Boundary conditions
+            velocity_in = u0 + ampl*sin(frequency*(t + t_shift)*PI)
+            Res(1) = velocity_in - velocity(1)
+            ! Pressure Inlet is linearly interpolated
+            Res(N + 2) = -pressure(1) + 2.0*pressure(2) - pressure(3)
+            ! Velocity Outlet is linearly interpolated
+            Res(N + 1) = -velocity(N + 1) + 2.0*velocity(N) - velocity(N - 1)
+            ! Pressure Outlet is "non-reflecting"
+            tmp2 = sqrt(c_mk2 - pressure_old(N + 1)/2.0) - &
+                (velocity(N + 1) - velocity_old(N + 1))/4.0
+            Res(2*N + 2) = -pressure(N + 1) + 2.0*(c_mk2 - tmp2**2)
+
+            ! Compute residual norm
+            norm_1 = sqrt(sum(Res**2))
+            norm_2 = sqrt(sum(pressure**2) + sum(velocity**2))
+            norm = norm_1/norm_2
+
+            if ((norm < tolerance .and. k > 1) .or. k > max_iterations) then
+                exit
+            end if
+
+            ! Initialize the LHS matrix
+            LHS = 0.0
+
+            ! Populate LHS matrix
+            do i = 2, N
+                ! Momentum, Velocity
+                LHS(i, i - 1) = LHS(i, i - 1) + 0.25*(-2.0*crossSectionLength(i - 1)*velocity(i - 1) - &
+                            2.0*crossSectionLength(i)*velocity(i - 1) - &
+                            crossSectionLength(i)*velocity(i) - crossSectionLength(i - 1)*velocity(i))
+                LHS(i, i) = LHS(i, i) + crossSectionLength(i)*dx/tau + &
+                            0.25*(crossSectionLength(i + 1)*velocity(i + 1) + &
+                                    crossSectionLength(i)*velocity(i + 1) + &
+                                    2.0*crossSectionLength(i + 1)*velocity(i) + &
+                                    2.0*crossSectionLength(i)*velocity(i) - &
+                                    crossSectionLength(i)*velocity(i - 1) - crossSectionLength(i - 1)*velocity(i - 1))
+                LHS(i, i + 1) = LHS(i, i + 1) + 0.25*(crossSectionLength(i + 1)*velocity(i) + &
+                            crossSectionLength(i)*velocity(i))
+
+                ! Momentum, Pressure
+                LHS(i, N + 1 + i - 1) = LHS(i, N + 1 + i - 1) - 0.25*crossSectionLength(i - 1) - &
+                                                0.25*crossSectionLength(i)
+                LHS(i, N + 1 + i) = LHS(i, N + 1 + i) + 0.25*crossSectionLength(i - 1) - &
+                                            0.25*crossSectionLength(i + 1)
+                LHS(i, N + 1 + i + 1) = LHS(i, N + 1 + i + 1) + 0.25*crossSectionLength(i) + &
+                                                0.25*crossSectionLength(i + 1)
+                ! Continuity, Velocity
+                LHS(i + N + 1, i - 1) = LHS(i + N + 1, i - 1) - 0.25*crossSectionLength(i - 1) - &
+                                0.25*crossSectionLength(i)
+                LHS(i + N + 1, i) = LHS(i + N + 1, i) - 0.25*crossSectionLength(i - 1) + &
+                                0.25*crossSectionLength(i + 1)
+                LHS(i + N + 1, i + 1) = LHS(i + N + 1, i + 1) + 0.25*crossSectionLength(i) + &
+                                0.25*crossSectionLength(i + 1)
+
+                ! Continuity, Pressure
+                LHS(i + N + 1, N + 1 + i - 1) = LHS(i + N + 1, N + 1 + i - 1) - alpha
+                LHS(i + N + 1, N + 1 + i) = LHS(i + N + 1, N + 1 + i) + 2.0*alpha
+                LHS(i + N + 1, N + 1 + i + 1) = LHS(i + N + 1, N + 1 + i + 1) - alpha
+            end do
+
+            ! Boundary conditions in LHS
+            ! Velocity Inlet is prescribed
+            LHS(1, 1) = 1.0
+            ! Pressure Inlet is linearly interpolated
+            LHS(N + 2, N + 2) = 1.0
+            LHS(N + 2, N + 3) = -2.0
+            LHS(N + 2, N + 4) = 1.0
+            ! Velocity Outlet is linearly interpolated
+            LHS(N + 1, N + 1) = 1.0
+            LHS(N + 1, N) = -2.0
+            LHS(N + 1, N - 1) = 1.0
+            ! Pressure Outlet is Non-Reflecting
+            LHS(2*N + 2, 2*N + 2) = 1.0
+            LHS(2*N + 2, N + 1) = -(sqrt(c_mk2 - pressure_old(N + 1)/2.0) - (velocity(N + 1) - velocity_old(N + 1))/4.0)
+
+            call dgesv(nlhs, nrhs, LHS, nlhs, ipiv, Res, nlhs, info)
+            if (info /= 0) then
+                write(*, *) "Linear Solver not converged!, Info: ", info
+            end if
+
+            ! Update velocity and pressure
+            do i = 1, N + 1
+                velocity(i) = velocity(i) + Res(i)
+                pressure(i) = pressure(i) + Res(i + N + 1)
+            end do
+        end do
+
+        ! Deallocate arrays
+        deallocate(Res, LHS, ipiv)
+
+    end subroutine fluid_compute_solution
+end module FluidComputeSolution