When talking about human anatomy, the auricle may refer to two distinct body parts — a part of the heart or a part of the ear. In relation to the ear, the term refers to the portion that exists outside of the head. When referencing the heart, the auricle is a term used to describe one of two sections of the two atria that are part of the heart. They are known as the right and left auricles. In older references, these names are used to describe the entire left and right atrium, but more recently, the term is used with more precise meaning. It refers to the small, cone-shaped, muscular pouch that projects from the atrium. Both auricles help their respective atria hold more blood, and in this respect, they essentially serve as reservoirs.
Please see the following two articles to help you begin to understand the function (along with some clinical relevance) of the atrial appendages: http://afibbers.org/resources/LAA.pdf and http://heart.bmj.com/content/82/5/547.abstract
The auricles are developmentally parts of the primitive atrial chamber and should be regarded as extensions of the corresponding atria. Their appearance in the mammalian hearts is a reflection of "ontogeny repeats phylogeny" Go though the introductory chapter on the anatomy of the heart in Gray s Anatomy 40th or 38th edition
As an Anatomist, I usually teach my students that every part of the body has it's own importance and function, and that our bodies were build with no redundancy of parts. Even when we don't know or don't understand the function of an organ, this doesn't mean that it is useless. (Think of the appendix, that used to be considered as useless, for many years, leading to so-called "preventive" appendicectomies in the near past, until immunological studies and cohort studies, led to the conclusion that it is a precious chamber with rich content of cytotoxic and oncotoxic cells, and that it is useful preventing intestinal cancer...)
In the case of the auricles, cardiac surgeons will tell you that it is a precious surgical help in cardiac valve replacement surgery, because it has the exact shape that will help the surgeon to slip his finger tip and stretch the region for the open-heart valve replacement. (This, of course, was the information I got, some 30 years ago, when open-heart surgery was currently performed, before the more modern cardiac surgical approaches...)
In physiological, and more serious terms, these small antechambers, placed in a strategical region of the atrial main chamber, may well play an important role as an spare reserve of blood content, or, to prevent turmoil of the atrial blood content, in specific case of overloading.
I am not, of course sufficiently documented in terms of cardio-vascular physiology, nor surgery, but I thought that my "innocent" comments as a general anatomist, might be helpful in this context of your interesting question.
Quoting from H.Feneis and W.Dauber Pocket Atlas of Human Anatomy, based on the International Nomenclature, 2000, you'll find the English and latin terms, currently in use, nowadays:
«Pg. 186: Right Atrium (Atrium dextrum);
Right Auricle (Auricula dextra) - Diverticulum of right atrium.
Pg.188: Left Atrium (Atrium sinistrum);
Left auricle (Auricula sinistra) - Hollow finger-like diverticulum of the left atrium, located left of the pulmonary trunk.»
These questions of renewed Anatomical terminologies have been under discussion since the 1989 Congress of the International Federation of the Associations of Anatomists (IFAA), It is still under revision, and since 2009 coordinated by the FIPAT group.
see https://www.unifr.ch/ifaa/Public/EntryPage/HomePublic.html