diff --git a/ProcessLib/LiquidFlow/Tests.cmake b/ProcessLib/LiquidFlow/Tests.cmake
index 70be989da54075ad4f5726671b4720c4cbb355f1..d087e8d00389408506007908640923e91da98563 100644
--- a/ProcessLib/LiquidFlow/Tests.cmake
+++ b/ProcessLib/LiquidFlow/Tests.cmake
@@ -82,6 +82,20 @@ AddTest(
hex.vtu isotropic_gravity_driven3D_pcs_0_ts_1_t_1.000000.vtu analytic_pressure pressure 1e-6 1e-6
)
+AddTest(
+ NAME LiquidFlowDirichletBCWithinTimeInterval
+ PATH Parabolic/LiquidFlow/TimeIntervalDirichletBC
+ EXECUTABLE ogs
+ EXECUTABLE_ARGS TimeIntervalDirichletBC.prj
+ WRAPPER time
+ TESTER vtkdiff
+ REQUIREMENTS NOT OGS_USE_MPI
+ DIFF_DATA
+ mesh2D.vtu dirichlet_bc_wihin_interval_pcs_0_ts_2_t_10.000000.vtu analytical_solution_t_lt_10 pressure 1e-6 1e-12
+ mesh2D.vtu dirichlet_bc_wihin_interval_pcs_0_ts_4_t_20.000000.vtu analytical_solution_t_gt_10 pressure 1e-6 1e-12
+)
+
+
#===============================================================================
# PETSc/MPI
AddTest(
@@ -153,3 +167,16 @@ AddTest(
DIFF_DATA
hex.vtu isotropic_gravity_driven3D_pcs_0_ts_1_t_1_000000_0.vtu analytic_pressure pressure 1e-6 1e-6
)
+
+AddTest(
+ NAME LiquidFlowDirichletBCWithinTimeInterval
+ PATH Parabolic/LiquidFlow/TimeIntervalDirichletBC
+ EXECUTABLE_ARGS TimeIntervalDirichletBC.prj
+ WRAPPER mpirun
+ WRAPPER_ARGS -np 1
+ TESTER vtkdiff
+ REQUIREMENTS OGS_USE_MPI
+ DIFF_DATA
+ mesh2D.vtu dirichlet_bc_wihin_interval_pcs_0_ts_2_t_10_000000_0.vtu analytical_solution_t_lt_10 pressure 1e-6 1e-12
+ mesh2D.vtu dirichlet_bc_wihin_interval_pcs_0_ts_4_t_20_000000_0.vtu analytical_solution_t_gt_10 pressure 1e-6 1e-12
+)
diff --git a/Tests/Data/Parabolic/LiquidFlow/TimeIntervalDirichletBC/TimeIntervalDirichletBC.prj b/Tests/Data/Parabolic/LiquidFlow/TimeIntervalDirichletBC/TimeIntervalDirichletBC.prj
new file mode 100644
index 0000000000000000000000000000000000000000..b8f595f32ec379d25536041f47b305cc53be9916
--- /dev/null
+++ b/Tests/Data/Parabolic/LiquidFlow/TimeIntervalDirichletBC/TimeIntervalDirichletBC.prj
@@ -0,0 +1,169 @@
+<?xml version="1.0" encoding="ISO-8859-1"?>
+<OpenGeoSysProject>
+ <mesh>mesh2D.vtu</mesh>
+ <geometry>square.gml</geometry>
+ <processes>
+ <process>
+ <name>LiquidFlow</name>
+ <type>LIQUID_FLOW</type>
+ <integration_order>2</integration_order>
+ <darcy_gravity>
+ <!-- axis_id: 0, 1, or the dimension of space minus one -->
+ <axis_id>1</axis_id>
+ <!-- g>=0. g=0: non gravity term -->
+ <g>0.0</g>
+ </darcy_gravity>
+ <process_variables>
+ <process_variable>pressure</process_variable>
+ </process_variables>
+ <secondary_variables>
+ <secondary_variable type="static" internal_name="darcy_velocity" output_name="v"/>
+ </secondary_variables>
+ <material_property>
+ <fluid>
+ <density>
+ <type>Constant</type>
+ <value> 1.e3 </value>
+ </density>
+ <viscosity>
+ <type>Constant</type>
+ <value> 1.e-3 </value>
+ </viscosity>
+ </fluid>
+ <porous_medium>
+ <porous_medium id="0">
+ <permeability>
+ <permeability_tensor_entries>kappa1</permeability_tensor_entries>
+ <type>Constant</type>
+ </permeability>
+ <porosity>
+ <type>Constant</type>
+ <porosity_parameter>constant_porosity_parameter</porosity_parameter>
+ </porosity>
+ <storage>
+ <type>Constant</type>
+ <value> 0.0 </value>
+ </storage>
+ </porous_medium>
+ </porous_medium>
+ </material_property>
+ </process>
+ </processes>
+ <time_loop>
+ <processes>
+ <process ref="LiquidFlow">
+ <nonlinear_solver>basic_picard</nonlinear_solver>
+ <convergence_criterion>
+ <type>DeltaX</type>
+ <norm_type>NORM2</norm_type>
+ <abstol>1.e-6</abstol>
+ </convergence_criterion>
+ <time_discretization>
+ <type>BackwardEuler</type>
+ </time_discretization>
+ <output>
+ <variables>
+ <variable> pressure </variable>
+ <variable> v </variable>
+ </variables>
+ </output>
+ <time_stepping>
+ <type>FixedTimeStepping</type>
+ <t_initial> 0.0 </t_initial>
+ <t_end> 20 </t_end>
+ <timesteps>
+ <pair>
+ <repeat>5</repeat>
+ <delta_t>5.0</delta_t>
+ </pair>
+ </timesteps>
+ </time_stepping>
+ </process>
+ </processes>
+ <output>
+ <type>VTK</type>
+ <prefix>dirichlet_bc_wihin_interval</prefix>
+ <timesteps>
+ <pair>
+ <repeat> 1 </repeat>
+ <each_steps> 2 </each_steps>
+ </pair>
+ </timesteps>
+ </output>
+ </time_loop>
+ <parameters>
+ <parameter>
+ <name>p0</name>
+ <type>Constant</type>
+ <value>0</value>
+ </parameter>
+ <parameter>
+ <name>bc_top</name>
+ <type>Constant</type>
+ <value>1.e5</value>
+ </parameter>
+ <parameter>
+ <name>bc_bottom</name>
+ <type>Constant</type>
+ <value>1.e6</value>
+ </parameter>
+ <parameter>
+ <name>constant_porosity_parameter</name>
+ <type>Constant</type>
+ <value>0.2</value>
+ </parameter>
+ <parameter>
+ <name>kappa1</name>
+ <type>Constant</type>
+ <values>1.e-12</values>
+ </parameter>
+ </parameters>
+ <process_variables>
+ <process_variable>
+ <name>pressure</name>
+ <components>1</components>
+ <order>1</order>
+ <initial_condition>p0</initial_condition>
+ <boundary_conditions>
+ <boundary_condition>
+ <geometrical_set>square</geometrical_set>
+ <geometry>top</geometry>
+ <type>Dirichlet</type>
+ <parameter>bc_top</parameter>
+ </boundary_condition>
+ <boundary_condition>
+ <geometrical_set>square</geometrical_set>
+ <geometry>bottom</geometry>
+ <type>DirichletWithinTimeInterval</type>
+ <parameter>bc_bottom</parameter>
+ <start_time> 0.0 </start_time>
+ <end_time> 10.0 </end_time>
+ </boundary_condition>
+ </boundary_conditions>
+ </process_variable>
+ </process_variables>
+ <nonlinear_solvers>
+ <nonlinear_solver>
+ <name>basic_picard</name>
+ <type>Picard</type>
+ <max_iter>10</max_iter>
+ <linear_solver>general_linear_solver</linear_solver>
+ </nonlinear_solver>
+ </nonlinear_solvers>
+ <linear_solvers>
+ <linear_solver>
+ <name>general_linear_solver</name>
+ <lis>-i cg -p jacobi -tol 1e-20 -maxiter 10000</lis>
+ <eigen>
+ <solver_type>CG</solver_type>
+ <precon_type>DIAGONAL</precon_type>
+ <max_iteration_step>10000</max_iteration_step>
+ <error_tolerance>1e-20</error_tolerance>
+ </eigen>
+ <petsc>
+ <prefix>lf</prefix>
+ <parameters>-lf_ksp_type cg -lf_pc_type bjacobi -lf_ksp_rtol 1e-16 -lf_ksp_max_it 10000</parameters>
+ </petsc>
+ </linear_solver>
+ </linear_solvers>
+</OpenGeoSysProject>
diff --git a/Tests/Data/Parabolic/LiquidFlow/TimeIntervalDirichletBC/mesh2D.vtu b/Tests/Data/Parabolic/LiquidFlow/TimeIntervalDirichletBC/mesh2D.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..d92a7a5c01578496b1667043de8b80ebd56e04a4
--- /dev/null
+++ b/Tests/Data/Parabolic/LiquidFlow/TimeIntervalDirichletBC/mesh2D.vtu
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:87e85a18582c9f00d688efe8843f08c1bbdb486e785f200b2ebff2b623ff7e75
+size 55984
diff --git a/Tests/Data/Parabolic/LiquidFlow/TimeIntervalDirichletBC/square.gml b/Tests/Data/Parabolic/LiquidFlow/TimeIntervalDirichletBC/square.gml
new file mode 100644
index 0000000000000000000000000000000000000000..8875d2339a22bc2eca98a9f867b4103608ae126d
--- /dev/null
+++ b/Tests/Data/Parabolic/LiquidFlow/TimeIntervalDirichletBC/square.gml
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5b81cd7b41c595f99efe1cf828ed9c63bf353582b1ba154f28ec134ce3d01078
+size 703