From 962910bd431a100ad40e8de4549790cdaa1203fb Mon Sep 17 00:00:00 2001
From: Henry Weller <http://cfd.direct>
Date: Tue, 23 Aug 2016 22:03:24 +0100
Subject: [PATCH] lagrangian::Analytical: improved analytical integration for
 the U-equation Patch contributed by Timo Niemi In response to bug-report
 http://bugs.openfoam.org/view.php?id=2199

---
 .../intermediate/IntegrationScheme/Analytical/Analytical.C | 7 +++----
 1 file changed, 3 insertions(+), 4 deletions(-)

diff --git a/src/lagrangian/intermediate/IntegrationScheme/Analytical/Analytical.C b/src/lagrangian/intermediate/IntegrationScheme/Analytical/Analytical.C
index 95f3c531e0..5d95ad26ea 100644
--- a/src/lagrangian/intermediate/IntegrationScheme/Analytical/Analytical.C
+++ b/src/lagrangian/intermediate/IntegrationScheme/Analytical/Analytical.C
@@ -2,7 +2,7 @@
   =========                 |
   \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
    \\    /   O peration     |
-    \\  /    A nd           | Copyright (C) 2011 OpenFOAM Foundation
+    \\  /    A nd           | Copyright (C) 2011-2016 OpenFOAM Foundation
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
 License
@@ -76,11 +76,10 @@ Foam::Analytical<Type>::integrate
     }
     else
     {
-        retValue.average() = phi;
-        retValue.value() =  phi;
+        retValue.value() = phi + alphaBeta*dt;
+        retValue.average() = 0.5*(phi + retValue.value());
     }
 
-
     return retValue;
 }