diff --git a/test/data/WallTest-integrateWithAdvance.csv b/test/data/WallTest-integrateWithAdvance.csv
new file mode 100644
index 000000000..7e8ee34fe
--- /dev/null
+++ b/test/data/WallTest-integrateWithAdvance.csv
@@ -0,0 +1,199 @@
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diff --git a/test/python/testReactors.py b/test/python/testReactors.py
index fb134b5f2..fc9c9cdd8 100644
--- a/test/python/testReactors.py
+++ b/test/python/testReactors.py
@@ -106,8 +106,86 @@ class CombustorTestImplementation(object):
                                               rtol=1e-6, atol=1e-12)
             self.assertFalse(bad, bad)
 
-# Keep the implementation separate from the unittest-derived class
-# so that it can be run independently to generate the reference data file.
-class CombustorTest(CombustorTestImplementation, unittest.TestCase):
-    pass
 
+class WallTestImplementation(object):
+    """
+    These tests are based on the sample:
+
+        python/reactors/reactor2_sim/reactor2.py
+
+    with some simplifications so that they run faster and produce more
+    consistent output.
+    """
+
+    referenceFile = '../data/WallTest-integrateWithAdvance.csv'
+    def setUp(self):
+        # reservoir to represent the environment
+        self.gas0 = ct.importPhase('../../data/inputs/air.cti')
+        self.gas0.set(T=300, P=ct.OneAtm)
+        self.env = reactors.Reservoir(self.gas0)
+
+        # reactor to represent the side filled with Argon
+        self.gas1 = ct.importPhase('../../data/inputs/air.cti')
+        self.gas1.set(T=1000.0, P=30*ct.OneAtm, X='AR:1.0')
+        self.r1 = reactors.Reactor(self.gas1)
+
+        # reactor to represent the combustible mixture
+        self.gas2 = ct.importPhase('../../data/inputs/h2o2.cti')
+        self.gas2.set(T=500.0, P=1.5*ct.OneAtm, X='H2:0.5, O2:1.0, AR:10.0')
+        self.r2 = reactors.Reactor(self.gas2)
+
+        # Wall between the two reactors
+        self.w1 = reactors.Wall(self.r2, self.r1)
+        self.w1.set(area=1.0, K=2e-4, U=400.0)
+
+        # Wall to represent heat loss to the environment
+        self.w2 = reactors.Wall(self.r2, self.env)
+        self.w2.set(area=1.0, U=2000.0)
+
+        # Create the reactor network
+        self.sim = reactors.ReactorNet([self.r1, self.r2])
+
+    def test_integrateWithStep(self):
+        tnow = 0.0
+        tfinal = 0.01
+        self.data = []
+        while tnow < tfinal:
+            tnow = self.sim.step(tfinal)
+            self.data.append([tnow,
+                              self.r1.temperature(),
+                              self.r2.temperature(),
+                              self.r1.pressure(),
+                              self.r2.pressure(),
+                              self.r1.volume(),
+                              self.r2.volume()])
+
+        self.assertTrue(tnow >= tfinal)
+        bad = utilities.compareTimeSeries(self.referenceFile, self.data,
+                                          rtol=1e-3, atol=1e-8)
+        self.assertFalse(bad, bad)
+
+    def test_integrateWithAdvance(self, saveReference=False):
+        times = np.linspace(0, 0.01, 200)
+        self.data = []
+        for t in times[1:]:
+            self.sim.advance(t)
+            self.data.append([t,
+                              self.r1.temperature(),
+                              self.r2.temperature(),
+                              self.r1.pressure(),
+                              self.r2.pressure(),
+                              self.r1.volume(),
+                              self.r2.volume()])
+
+        if saveReference:
+            np.savetxt(self.referenceFile, np.array(self.data), '%11.6e', ', ')
+        else:
+            bad = utilities.compareTimeSeries(self.referenceFile, self.data,
+                                              rtol=2e-5, atol=1e-9)
+            self.assertFalse(bad, bad)
+
+
+# Keep the implementations separate from the unittest-derived class
+# so that they can be run independently to generate the reference data files.
+class CombustorTest(CombustorTestImplementation, unittest.TestCase): pass
+class WallTest(WallTestImplementation, unittest.TestCase): pass