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+\appendix
-<
+\chapter{\label{chapt:appendix}APPENDIX}
->
+\chapter{\label{chapt:oopse}Object-Oriented Parallel Simulation Engine}
-<
+Designing object-oriented software is hard, and designing reusable
-<
+object-oriented scientific software is even harder. Absence of
-<
+applying modern software development practices is the bottleneck of
-<
+Scientific Computing community\cite{Wilson}. For instance, in the
-<
+last 20 years , there are quite a few MD packages that were
->
+Absence of applying modern software development practices is the
->
+bottleneck of Scientific Computing community\cite{Wilson2006}. In
->
+the last 20 years , there are quite a few MD packages that were
+developed to solve common MD problems and perform robust simulations
+. However, many of the codes are legacy programs that are either
+poorly organized or extremely complex. Usually, these packages were
+coordination to enforce design and programming guidelines. Moreover,
+most MD programs also suffer from missing design and implement
+documents which is crucial to the maintenance and extensibility.
-+
+Along the way of studying structural and dynamic processes in
-+
+condensed phase systems like biological membranes and nanoparticles,
-+
+we developed and maintained an Object-Oriented Parallel Simulation
-+
+Engine ({\sc OOPSE}). This new molecular dynamics package has some
-+
+unique features
-+
+\begin{enumerate}
-+
+  \item {\sc OOPSE} performs Molecular Dynamics (MD) simulations on non-standard
-+
+atom types (transition metals, point dipoles, sticky potentials,
-+
+Gay-Berne ellipsoids, or other "lumpy"atoms with orientational
-+
+degrees of freedom), as well as rigid bodies.
-+
+  \item {\sc OOPSE} uses a force-based decomposition algorithm using MPI on cheap
-+
+Beowulf clusters to obtain very efficient parallelism.
-+
+  \item {\sc OOPSE} integrates the equations of motion using advanced methods for
-+
+orientational dynamics in NVE, NVT, NPT, NPAT, and NP$\gamma$T
-+
+ensembles.
-+
+  \item {\sc OOPSE} can carry out simulations on metallic systems using the
-+
+Embedded Atom Method (EAM) as well as the Sutton-Chen potential.
-+
+  \item {\sc OOPSE} can perform simulations on Gay-Berne liquid crystals.
-+
+  \item  {\sc OOPSE} can simulate systems containing the extremely efficient
-+
+extended-Soft Sticky Dipole (SSD/E) model for water.
-+
+\end{enumerate}
-+
+\section{\label{appendixSection:architecture }Architecture}
-+
-+
+Mainly written by \texttt{C/C++} and \texttt{Fortran90}, {\sc OOPSE}
-+
+uses C++ Standard Template Library (STL) and fortran modules as the
-+
+foundation. As an extensive set of the STL and Fortran90 modules,
-+
+{\sc Base Classes} provide generic implementations of mathematical
-+
+objects (e.g., matrices, vectors, polynomials, random number
-+
+generators) and advanced data structures and algorithms(e.g., tuple,
-+
+bitset, generic data, string manipulation). The molecular data
-+
+structures for the representation of atoms, bonds, bends, torsions,
-+
+rigid bodies and molecules \textit{etc} are contained in the {\sc
-+
+Kernel} which is implemented with {\sc Base Classes} and are
-+
+carefully designed to provide maximum extensibility and flexibility.
-+
+The functionality required for applications is provide by the third
-+
+layer which contains Input/Output, Molecular Mechanics and Structure
-+
+modules. Input/Output module not only implements general methods for
-+
+file handling, but also defines a generic force field interface.
-+
+Another important component of Input/Output module is the meta-data
-+
+file parser, which is rewritten using ANother Tool for Language
-+
+Recognition(ANTLR)\cite{Parr1995, Schaps1999} syntax. The Molecular
-+
+Mechanics module consists of energy minimization and a wide
-+
+varieties of integration methods(see Chap.~\ref{chapt:methodology}).
-+
+The structure module contains a flexible and powerful selection
-+
+library which syntax is elaborated in
-+
+Sec.~\ref{appendixSection:syntax}. The top layer is made of the main
-+
+program of the package, \texttt{oopse} and it corresponding parallel
-+
+version \texttt{oopse\_MPI}, as well as other useful utilities, such
-+
+as \texttt{StatProps} (see Sec.~\ref{appendixSection:StaticProps}),
-+
+\texttt{DynamicProps} (see Sec.~\ref{appendixSection:DynamicProps}),
-+
+\texttt{Dump2XYZ} (see Sec.~\ref{appendixSection:Dump2XYZ}),
-+
+\texttt{Hydro} (see Sec.~\ref{appendixSection:hydrodynamics})
-+
+\textit{etc}.
-+
-+
+\begin{figure}
-+
+\centering
-+
+\includegraphics[width=\linewidth]{architecture.eps}
-+
+\caption[The architecture of {\sc OOPSE}] {Overview of the structure
-+
+of {\sc OOPSE}} \label{appendixFig:architecture}
-+
+\end{figure}
-+
+\section{\label{appendixSection:desginPattern}Design Pattern}
+Design patterns are optimal solutions to commonly-occurring problems
+As one of the latest advanced techniques emerged from
+object-oriented community, design patterns were applied in some of
-<
+the modern scientific software applications, such as JMol, OOPSE
-<
+\cite{Meineke05} and PROTOMOL \cite{Matthey05} \textit{etc}.
->
+the modern scientific software applications, such as JMol, {\sc
->
+OOPSE}\cite{Meineke2005} and PROTOMOL\cite{Matthey2005}
->
+\textit{etc}. The following sections enumerates some of the patterns
->
+used in {\sc OOPSE}.
+\subsection{\label{appendixSection:singleton}Singleton}
-–
+The Singleton pattern ensures that only one instance of a class is
-–
+created. All objects that use an instance of that class use the same
-–
+instance.
-+
+The Singleton pattern not only provides a mechanism to restrict
-+
+instantiation of a class to one object, but also provides a global
-+
+point of access to the object. Currently implemented as a global
-+
+variable, the logging utility which reports error and warning
-+
+messages to the console in {\sc OOPSE} is a good candidate for
-+
+applying the Singleton pattern to avoid the global namespace
-+
+pollution.Although the singleton pattern can be implemented in
-+
+various ways  to account for different aspects of the software
-+
+designs, such as lifespan control \textit{etc}, we only use the
-+
+static data approach in {\sc OOPSE}. IntegratorFactory class is
-+
+declared as
-+
-+
+\begin{lstlisting}[float,caption={[A classic Singleton design pattern implementation(I)] The declaration of of simple Singleton pattern.},label={appendixScheme:singletonDeclaration}]
-+
-+
+class IntegratorFactory {
-+
+public:
-+
+  static IntegratorFactory*
-+
+  getInstance();
-+
+protected:
-+
+  IntegratorFactory();
-+
+private:
-+
+  static IntegratorFactory* instance_;
-+
+};
-+
-+
+\end{lstlisting}
-+
-+
+The corresponding implementation is
-+
-+
+\begin{lstlisting}[float,caption={[A classic implementation of Singleton design pattern (II)] The implementation of simple Singleton pattern.},label={appendixScheme:singletonImplementation}]
-+
-+
+IntegratorFactory::instance_ = NULL;
-+
-+
+IntegratorFactory* getInstance() {
-+
+  if (instance_ == NULL){
-+
+    instance_ = new IntegratorFactory;
-+
+  }
-+
+  return instance_;
-+
+}
-+
-+
+\end{lstlisting}
-+
-+
+Since constructor is declared as protected, a client can not
-+
+instantiate IntegratorFactory directly. Moreover, since the member
-+
+function getInstance serves as the only entry of access to
-+
+IntegratorFactory, this approach fulfills the basic requirement, a
-+
+single instance. Another consequence of this approach is the
-+
+automatic destruction since static data are destroyed upon program
-+
+termination.
-+
+\subsection{\label{appendixSection:factoryMethod}Factory Method}
-–
+The Factory Method pattern is a creational pattern which deals with
-–
+the problem of creating objects without specifying the exact class
-–
+of object that will be created. Factory Method solves this problem
-–
+by defining a separate method for creating the objects, which
-–
+subclasses can then override to specify the derived type of product
-–
+that will be created.
-+
+Categoried as a creational pattern, the Factory Method pattern deals
-+
+with the problem of creating objects without specifying the exact
-+
+class of object that will be created. Factory Method is typically
-+
+implemented by delegating the creation operation to the subclasses.
-+
+Parameterized Factory pattern where factory method (
-+
+createIntegrator member function) creates products based on the
-+
+identifier (see List.~\ref{appendixScheme:factoryDeclaration}). If
-+
+the identifier has been already registered, the factory method will
-+
+invoke the corresponding creator (see List.~\ref{integratorCreator})
-+
+which utilizes the modern C++ template technique to avoid excess
-+
+subclassing.
-+
+\begin{lstlisting}[float,caption={[The implementation of Parameterized Factory pattern (I)]Source code of IntegratorFactory class.},label={appendixScheme:factoryDeclaration}]
-+
-+
+class IntegratorFactory {
-+
+public:
-+
+  typedef std::map<string, IntegratorCreator*> CreatorMapType;
-+
-+
+  bool registerIntegrator(IntegratorCreator* creator) {
-+
+    return creatorMap_.insert(creator->getIdent(), creator).second;
-+
+  }
-+
-+
+  Integrator* createIntegrator(const string& id, SimInfo* info) {
-+
+    Integrator* result = NULL;
-+
+    CreatorMapType::iterator i = creatorMap_.find(id);
-+
+    if (i != creatorMap_.end()) {
-+
+      result = (i->second)->create(info);
-+
+    }
-+
+    return result;
-+
+  }
-+
-+
+private:
-+
+  CreatorMapType creatorMap_;
-+
+};
-+
+\end{lstlisting}
-+
-+
+\begin{lstlisting}[float,caption={[The implementation of Parameterized Factory pattern (III)]Source code of creator classes.},label={appendixScheme:integratorCreator}]
-+
-+
+class IntegratorCreator {
-+
+public:
-+
+    IntegratorCreator(const string& ident) : ident_(ident) {}
-+
-+
+    const string& getIdent() const { return ident_; }
-+
-+
+    virtual Integrator* create(SimInfo* info) const = 0;
-+
-+
+private:
-+
+    string ident_;
-+
+};
-+
-+
+template<class ConcreteIntegrator>
-+
+class IntegratorBuilder : public IntegratorCreator {
-+
+public:
-+
+  IntegratorBuilder(const string& ident)
-+
+                   : IntegratorCreator(ident) {}
-+
+  virtual  Integrator* create(SimInfo* info) const {
-+
+    return new ConcreteIntegrator(info);
-+
+  }
-+
+};
-+
+\end{lstlisting}
-+
+\subsection{\label{appendixSection:visitorPattern}Visitor}
-–
+The purpose of the Visitor Pattern is to encapsulate an operation
-–
+that you want to perform on the elements of a data structure. In
-–
+this way, you can change the operation being performed on a
-–
+structure without the need of changing the classes of the elements
-–
+that you are operating on.
-+
+The visitor pattern is designed to decouple the data structure and
-+
+algorithms used upon them by collecting related operation from
-+
+element classes into other visitor classes, which is equivalent to
-+
+adding virtual functions into a set of classes without modifying
-+
+their interfaces. Fig.~\ref{appendixFig:visitorUML} demonstrates the
-+
+structure of Visitor pattern which is used extensively in {\tt
-+
+Dump2XYZ}. In order to convert an OOPSE dump file, a series of
-+
+distinct operations are performed on different StuntDoubles (See the
-+
+class hierarchy in Fig.~\ref{oopseFig:hierarchy} and the declaration
-+
+in List.~\ref{appendixScheme:element}). Since the hierarchies
-+
+remains stable, it is easy to define a visit operation (see
-+
+List.~\ref{appendixScheme:visitor}) for each class of StuntDouble.
-+
+Note that using Composite pattern\cite{Gamma1994}, CompositVisitor
-+
+manages a priority visitor list and handles the execution of every
-+
+visitor in the priority list on different StuntDoubles.
-<
+\subsection{\label{appendixSection:templateMethod}Template Method}
->
+\begin{figure}
->
+\centering
->
+\includegraphics[width=\linewidth]{visitor.eps}
->
+\caption[The UML class diagram of Visitor patten] {The UML class
->
+diagram of Visitor patten.} \label{appendixFig:visitorUML}
->
+\end{figure}
-+
+\begin{figure}
-+
+\centering
-+
+\includegraphics[width=\linewidth]{hierarchy.eps}
-+
+\caption[Class hierarchy for ojects in {\sc OOPSE}]{ A diagram of
-+
+the class hierarchy. } \label{oopseFig:hierarchy}
-+
+\end{figure}
-+
-+
+\begin{lstlisting}[float,caption={[The implementation of Visitor pattern (II)]Source code of the element classes.},label={appendixScheme:element}]
-+
-+
+class StuntDouble { public:
-+
+  virtual void accept(BaseVisitor* v) = 0;
-+
+};
-+
-+
+class Atom: public StuntDouble { public:
-+
+  virtual void accept{BaseVisitor* v*} {
-+
+    v->visit(this);
-+
+  }
-+
+};
-+
-+
+class DirectionalAtom: public Atom { public:
-+
+  virtual void accept{BaseVisitor* v*} {
-+
+    v->visit(this);
-+
+  }
-+
+};
-+
-+
+class RigidBody: public StuntDouble { public:
-+
+  virtual void accept{BaseVisitor* v*} {
-+
+    v->visit(this);
-+
+  }
-+
+};
-+
-+
+\end{lstlisting}
-+
-+
+\begin{lstlisting}[float,caption={[The implementation of Visitor pattern (I)]Source code of the visitor classes.},label={appendixScheme:visitor}]
-+
-+
+class BaseVisitor{
-+
+public:
-+
+  virtual void visit(Atom* atom);
-+
+  virtual void visit(DirectionalAtom* datom);
-+
+  virtual void visit(RigidBody* rb);
-+
+};
-+
-+
+class BaseAtomVisitor:public BaseVisitor{ public:
-+
+  virtual void visit(Atom* atom);
-+
+  virtual void visit(DirectionalAtom* datom);
-+
+  virtual void visit(RigidBody* rb);
-+
+};
-+
-+
+class SSDAtomVisitor:public BaseAtomVisitor{ public:
-+
+  virtual void visit(Atom* atom);
-+
+  virtual void visit(DirectionalAtom* datom);
-+
+  virtual void visit(RigidBody* rb);
-+
+};
-+
-+
+class CompositeVisitor: public BaseVisitor {
-+
+public:
-+
-+
+  typedef list<pair<BaseVisitor*, int> > VistorListType;
-+
+  typedef VistorListType::iterator VisitorListIterator;
-+
+  virtual void visit(Atom* atom) {
-+
+    VisitorListIterator i;
-+
+    BaseVisitor* curVisitor;
-+
+    for(i = visitorList.begin();i != visitorList.end();++i) {
-+
+      atom->accept(*i);
-+
+    }
-+
+  }
-+
-+
+  virtual void visit(DirectionalAtom* datom) {
-+
+    VisitorListIterator i;
-+
+    BaseVisitor* curVisitor;
-+
+    for(i = visitorList.begin();i != visitorList.end();++i) {
-+
+      atom->accept(*i);
-+
+    }
-+
+  }
-+
-+
+  virtual void visit(RigidBody* rb) {
-+
+    VisitorListIterator i;
-+
+    std::vector<Atom*> myAtoms;
-+
+    std::vector<Atom*>::iterator ai;
-+
+    myAtoms = rb->getAtoms();
-+
+    for(i = visitorList.begin();i != visitorList.end();++i) {{
-+
+      rb->accept(*i);
-+
+      for(ai = myAtoms.begin(); ai != myAtoms.end(); ++ai){
-+
+        (*ai)->accept(*i);
-+
+    }
-+
+  }
-+
-+
+  void addVisitor(BaseVisitor* v, int priority);
-+
-+
+  protected:
-+
+    VistorListType visitorList;
-+
+};
-+
-+
+\end{lstlisting}
-+
+\section{\label{appendixSection:concepts}Concepts}
+OOPSE manipulates both traditional atoms as well as some objects
+that {\it behave like atoms}.  These objects can be rigid
+collections of atoms or atoms which have orientational degrees of
-<
+freedom.  Here is a diagram of the class heirarchy:
-<
-<
+%\begin{figure}
-<
+%\centering
-<
+%\includegraphics[width=3in]{heirarchy.eps}
-<
+%\caption[Class heirarchy for StuntDoubles in {\sc oopse}-3.0]{ \\
-<
+%The class heirarchy of StuntDoubles in {\sc oopse}-3.0. The
-<
+%selection syntax allows the user to select any of the objects that
-<
+%are descended from a StuntDouble.} \label{oopseFig:heirarchy}
-<
+%\end{figure}
-<
->
+freedom.  A diagram of the class hierarchy is illustrated in
->
+Fig.~\ref{oopseFig:hierarchy}. Every Molecule, Atom and
->
+DirectionalAtom in {\sc OOPSE} have their own names which are
->
+specified in the {\tt .md} file. In contrast, RigidBodies are
->
+denoted by their membership and index inside a particular molecule:
->
+[MoleculeName]\_RB\_[index] (the contents inside the brackets depend
->
+on the specifics of the simulation). The names of rigid bodies are
->
+generated automatically. For example, the name of the first rigid
->
+body in a DMPC molecule is DMPC\_RB\_0.
+\begin{itemize}
+\item A {\bf StuntDouble} is {\it any} object that can be manipulated by the
+integrators and minimizers.
+DirectionalAtom}s which behaves as a single unit.
+\end{itemize}
-–
+Every Molecule, Atom and DirectionalAtom in {\sc oopse} have their
-–
+own names which are specified in the {\tt .md} file. In contrast,
-–
+RigidBodies are denoted by their membership and index inside a
-–
+particular molecule: [MoleculeName]\_RB\_[index] (the contents
-–
+inside the brackets depend on the specifics of the simulation). The
-–
+names of rigid bodies are generated automatically. For example, the
-–
+name of the first rigid body in a DMPC molecule is DMPC\_RB\_0.
-–
+\section{\label{appendixSection:syntax}Syntax of the Select Command}
-<
+The most general form of the select command is: {\tt select {\it
-<
+expression}}
->
+{\sc OOPSE} provides a powerful selection utility to select
->
+StuntDoubles. The most general form of the select command is:
-+
+{\tt select {\it expression}}.
-+
+This expression represents an arbitrary set of StuntDoubles (Atoms
-<
+or RigidBodies) in {\sc oopse}. Expressions are composed of either
->
+or RigidBodies) in {\sc OOPSE}. Expressions are composed of either
+name expressions, index expressions, predefined sets, user-defined
+expressions, comparison operators, within expressions, or logical
+combinations of the above expression types. Expressions can be
+Users can define arbitrary terms to represent groups of
+StuntDoubles, and then use the define terms in select commands. The
+general form for the define command is: {\bf define {\it term
-<
+expression}}
->
+expression}}. Once defined, the user can specify such terms in
->
+boolean expressions
-–
+Once defined, the user can specify such terms in boolean expressions
-–
+{\tt define SSDWATER SSD or SSD1 or SSDRF}
+{\tt select SSDWATER}
+some or all of the configurations that are contained within a dump
+file. The most common example of a static property that can be
+computed is the pair distribution function between atoms of type $A$
-<
+and other atoms of type $B$, $g_{AB}(r)$.  StaticProps can also be
-<
+used to compute the density distributions of other molecules in a
-<
+reference frame {\it fixed to the body-fixed reference frame} of a
-<
+selected atom or rigid body.
->
+and other atoms of type $B$, $g_{AB}(r)$.  {\tt StaticProps} can
->
+also be used to compute the density distributions of other molecules
->
+in a reference frame {\it fixed to the body-fixed reference frame}
->
+of a selected atom or rigid body.
+There are five seperate radial distribution functions availiable in
+OOPSE. Since every radial distrbution function invlove the
+their body-fixed frames.} \label{oopseFig:gofr}
+\end{figure}
-+
+Due to the fact that the selected StuntDoubles from two selections
-+
+may be overlapped, {\tt StaticProps} performs the calculation in
-+
+three stages which are illustrated in
-+
+Fig.~\ref{oopseFig:staticPropsProcess}.
-+
-+
+\begin{figure}
-+
+\centering
-+
+\includegraphics[width=\linewidth]{staticPropsProcess.eps}
-+
+\caption[A representation of the three-stage correlations in
-+
+\texttt{StaticProps}]{This diagram illustrates three-stage
-+
+processing used by \texttt{StaticProps}. $S_1$ and $S_2$ are the
-+
+numbers of selected stuntdobules from {\tt -{}-sele1} and {\tt
-+
+-{}-sele2} respectively, while $C$ is the number of stuntdobules
-+
+appearing at both sets. The first stage($S_1-C$ and $S_2$) and
-+
+second stages ($S_1$ and $S_2-C$) are completely non-overlapping. On
-+
+the contrary, the third stage($C$ and $C$) are completely
-+
+overlapping} \label{oopseFig:staticPropsProcess}
-+
+\end{figure}
-+
+The options available for {\tt StaticProps} are as follows:
+\begin{longtable}[c]{|EFG|}
+\caption{StaticProps Command-line Options}
+different vectors).  The ability to use two selection scripts to
+select different types of atoms is already present in the code.
-+
+For large simulations, the trajectory files can sometimes reach
-+
+sizes in excess of several gigabytes. In order to effectively
-+
+analyze that amount of data. In order to prevent a situation where
-+
+the program runs out of memory due to large trajectories,
-+
+\texttt{dynamicProps} will estimate the size of free memory at
-+
+first, and determine the number of frames in each block, which
-+
+allows the operating system to load two blocks of data
-+
+simultaneously without swapping. Upon reading two blocks of the
-+
+trajectory, \texttt{dynamicProps} will calculate the time
-+
+correlation within the first block and the cross correlations
-+
+between the two blocks. This second block is then freed and then
-+
+incremented and the process repeated until the end of the
-+
+trajectory. Once the end is reached, the first block is freed then
-+
+incremented, until all frame pairs have been correlated in time.
-+
+This process is illustrated in
-+
+Fig.~\ref{oopseFig:dynamicPropsProcess}.
-+
-+
+\begin{figure}
-+
+\centering
-+
+\includegraphics[width=\linewidth]{dynamicPropsProcess.eps}
-+
+\caption[A representation of the block correlations in
-+
+\texttt{dynamicProps}]{This diagram illustrates block correlations
-+
+processing in \texttt{dynamicProps}. The shaded region represents
-+
+the self correlation of the block, and the open blocks are read one
-+
+at a time and the cross correlations between blocks are calculated.}
-+
+\label{oopseFig:dynamicPropsProcess}
-+
+\end{figure}
-+
+The options available for DynamicProps are as follows:
+\begin{longtable}[c]{|EFG|}
+\caption{DynamicProps Command-line Options}
+\subsection{\label{appendixSection:Dump2XYZ}Dump2XYZ}
-<
+Dump2XYZ can transform an OOPSE dump file into a xyz file which can
-<
+be opened by other molecular dynamics viewers such as Jmol and VMD.
-<
+The options available for Dump2XYZ are as follows:
->
+{\tt Dump2XYZ} can transform an OOPSE dump file into a xyz file
->
+which can be opened by other molecular dynamics viewers such as Jmol
->
+and VMD\cite{Humphrey1996}. The options available for Dump2XYZ are
->
+as follows:
+\begin{longtable}[c]{|EFG|}
+     & {\tt -{}-refsele} &  In order to rotate the system, {\tt -{}-originsele} and {\tt -{}-refsele} must be given to define the new coordinate set. A StuntDouble which contains a dipole (the direction of the dipole is always (0, 0, 1) in body frame) is specified by {\tt -{}-originsele}. The new x-z plane is defined by the direction of the dipole and the StuntDouble is specified by {\tt -{}-refsele}.
+\end{longtable}
-<
+\subsection{\label{appendixSection:hydrodynamics}Hydrodynamics}
->
+\subsection{\label{appendixSection:hydrodynamics}Hydro}
-+
+{\tt Hydro} can calculate resistance and diffusion tensors at the
-+
+center of resistance. Both tensors at the center of diffusion can
-+
+also be reported from the program, as well as the coordinates for
-+
+the beads which are used to approximate the arbitrary shapes. The
-+
+options available for Hydro are as follows:
+\begin{longtable}[c]{|EFG|}
+\caption{Hydrodynamics Command-line Options}
+\\ \hline
+  -i & {\tt -{}-input}  &             input dump file \\
+  -o & {\tt -{}-output} &             output file prefix  (default=`hydro') \\
+  -b & {\tt -{}-beads}  &                   generate the beads only, hydrodynamics calculation will not be performed (default=off)\\
-<
+     & {\tt -{}-model}  &                 hydrodynamics model (support ``AnalyticalModel'', ``RoughShell'' and ``BeadModel'') \\
->
+     & {\tt -{}-model}  &                 hydrodynamics model (supports ``AnalyticalModel'', ``RoughShell'' and ``BeadModel'') \\
+\end{longtable}

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Comparing trunk/tengDissertation/Appendix.tex (file contents): Revision 2811 by tim, Wed Jun 7 02:24:27 2006 UTC vs. Revision 2840 by tim, Fri Jun 9 02:54:01 2006 UTC

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Comparing trunk/tengDissertation/Appendix.tex (file contents):
Revision 2811 by tim, Wed Jun 7 02:24:27 2006 UTC vs.
Revision 2840 by tim, Fri Jun 9 02:54:01 2006 UTC