diff --git a/gusto/equations/common_forms.py b/gusto/equations/common_forms.py
index 91ce01368..8bb606511 100644
--- a/gusto/equations/common_forms.py
+++ b/gusto/equations/common_forms.py
@@ -14,7 +14,6 @@
            "kinetic_energy_form", "advection_equation_circulation_form",
            "diffusion_form", "diffusion_form_1d",
            "linear_advection_form", "linear_continuity_form",
-           "linear_continuity_form_1d",
            "split_continuity_form", "tracer_conservative_form"]
 
 
@@ -134,26 +133,7 @@ def linear_continuity_form(test, qbar, ubar):
         :class:`LabelledForm`: a labelled transport form.
     """
 
-    L = qbar*test*div(ubar)*dx
-    form = transporting_velocity(L, ubar)
-
-    return transport(form, TransportEquationType.conservative)
-
-
-def linear_continuity_form_1d(test, qbar, ubar):
-    """
-    The form corresponding to the linearised continuity transport operator.
-
-    Args:
-        test (:class:`TestFunction`): the test function.
-        qbar (:class:`ufl.Expr`): the variable to be transported.
-        ubar (:class:`ufl.Expr`): the transporting velocity.
-
-    Returns:
-        :class:`LabelledForm`: a labelled transport form.
-    """
-
-    L = qbar*test*ubar.dx(0)*dx
+    L = test*div(qbar*ubar)*dx
     form = transporting_velocity(L, ubar)
 
     return transport(form, TransportEquationType.conservative)
diff --git a/gusto/equations/shallow_water_equations.py b/gusto/equations/shallow_water_equations.py
index cad6e12cb..854266952 100644
--- a/gusto/equations/shallow_water_equations.py
+++ b/gusto/equations/shallow_water_equations.py
@@ -9,7 +9,7 @@
     advection_form, advection_form_1d, continuity_form,
     continuity_form_1d, vector_invariant_form,
     kinetic_energy_form, advection_equation_circulation_form, diffusion_form_1d,
-    linear_continuity_form, linear_continuity_form_1d
+    linear_continuity_form
 )
 from gusto.equations.prognostic_equations import PrognosticEquationSet
 
@@ -361,7 +361,7 @@ def __init__(self, domain, parameters,
 
         # Transport term needs special linearisation
         if self.linearisation_map(D_adv.terms[0]):
-            linear_D_adv = linear_continuity_form_1d(phi, H, u_trial)
+            linear_D_adv = linear_continuity_form(phi, H, u_trial)
             # Add linearisation to D_adv
             D_adv = linearisation(D_adv, linear_D_adv)
 
diff --git a/gusto/solvers/linear_solvers.py b/gusto/solvers/linear_solvers.py
index cdbb6cc2a..72dcea7a9 100644
--- a/gusto/solvers/linear_solvers.py
+++ b/gusto/solvers/linear_solvers.py
@@ -666,7 +666,7 @@ def _setup_solver(self):
             - beta_u * 0.5 * bbar * div(w*(D-Dbar)) * dx
             + beta_u * 0.5 * jump((D-Dbar)*w, n) * avg(bbar) * dS
             + inner(phi, (D - D_in)) * dx
-            + beta_d * phi * Dbar * div(u) * dx
+            + beta_d * phi * div(Dbar*u) * dx
         )
 
         if 'coriolis' in equation.prescribed_fields._field_names:
@@ -882,7 +882,7 @@ def _setup_solver(self):
             inner(w, (u - u_in)) * dx
             - beta_u * (D - Dbar) * div(w*g) * dx
             + inner(phi, (D - D_in)) * dx
-            + beta_d * phi * Dbar * div(u) * dx
+            + beta_d * phi * div(Dbar*u) * dx
         )
 
         if 'coriolis' in equation.prescribed_fields._field_names: