Update funwave_tvd_3.0.tex

doc/funwave_tvd_3.0.tex

@@ -1332,7 +1332,7 @@ \subsection{Input}
 
 \item HIGH\_ORDER: spatial scheme option,  FOURTH for the fourth-order, THIRD for the third-order, and SECOND for the second-order (not suggested for Boussinesq modeling). NOTE:  Abadie et al. (2012) pointed out that the fourth-order TVD scheme in RUNWAVE-TVD has an stability problem for simulations in deep water. We also encountered the similar problem in some cases. For this reason, the third-order  scheme is suggested for the present version. 
 
-SM Abadie, JC Harris, ST Grilli, R Fabre, 2012, Numerical modeling of tsunami waves generated by the flank collapse of the Cumbre Vieja Volcano (La Palma, Canary Islands): Tsunami source and near field effects, Journal of Geophysical Research: Oceans (1978�2012) 117 (C5)
+SM Abadie, JC Harris, ST Grilli, R Fabre, 2012, Numerical modeling of tsunami waves generated by the flank collapse of the Cumbre Vieja Volcano (La Palma, Canary Islands): Tsunami source and near field effects, Journal of Geophysical Research: Oceans (1978Ð2012) 117 (C5)
 
 \item CONSTRUCTION: construction method,  HLL for HLL scheme, otherwise for averaging scheme.
 
@@ -1678,7 +1678,7 @@ \subsection{Wave propagation over a shoal: Berkhoff et al. (1982)  (in directory
 
 The laboratory experiment of wave propagation over a shoal conducted by Berkhoff et al. (1982) has served as a standard test for examining numerical model performances in predicting wave shoaling, refraction, diffraction and nonlinear dispersion. Kirby et al. (1998) showed that the previous version of FUNWAVE accurately reproduces measured wave heights in the experiments. Here, in this manual, we repeat this test exactly following Kirby et al. (1998).
 
-The bottom topography is shown in Figure \ref{berkhoff_depth}, which  is generated using the same program in Kirby et al., (1998). The topography consists of an elliptic shoal resting on a plane beach with a constant slope 1/50. Bottom contours on the slope are oriented at an angle of 20$^\circ$ to the $y$ axis. Regular waves with period of  $1 s$ and amplitude of $2.32 cm$ are generated by a wavemaker at $x=-10m$ and propagate across the domain. Experiment data are collected along 8 transects as shown in the figure. Two vertical side walls are located at $y = -10 m$ and $y=10 m$. Detailed information on the geometry may be obtained in Berkhoff et al. (1982) or Kirby and Dalrymple (1984). 
+The bottom topography is shown in Figure \ref{berkhoff_depth}, which  is generated using the same program in Kirby et al., (1998). The topography consists of an elliptic shoal resting on a plane beach with a constant slope 1/50. Bottom contours on the slope are oriented at an angle of 20$^\circ$ to the $y$ axis. Regular waves with period of  $1 s$ and amplitude of $2.32 cm$ are generated by a wavemaker at $x=-10m$ and propagate across the domain. Experiment data are collected along 8 transects as shown in the figure. Two vertical side walls are located at $y = -10 m$ and $y=10 m$. Detailed information on the geometry may be obtained in Berkhoff et al. (1982) or Kirby and Dalrymple (1986). 
 
 The computational domain used in the model is the same as in Figure \ref{berkhoff_depth} except for two sponge layers with a width of $2 m$  sitting behind wavemaker and on the end of the beach. The source function for generating the corresponding monochromatic wave is located at the wavemaker. 
 
@@ -2436,7 +2436,9 @@ \section{References}
 
 \item Kim, D. H., 2009, ``Turbulent flow and transport modeling by long waves and currents'', Ph.D. dissertation, Texas A\& M University.
 
-\item Kirby, J. T., Wei, G., Chen, Q., Kennedy, A. B. and Dalrymple, R. A., 1998,  ``FUNWAVE 1.0, Fully nonlinear Boussinesq wave model. Documentation and user�s manual". Report CACR-98-06, Center for Applied Coastal Research, Department of Civil and Environmental Engineering, University of Delaware.
+\item Kirby, J. T., and R. A. Dalrymple, 1986, ``An approximate model for nonlinear dispersion in monochromatic wave propagation models'', {\em Coastal Engineering}, {\bf 9}, 545-561.
+
+\item Kirby, J. T., Wei, G., Chen, Q., Kennedy, A. B. and Dalrymple, R. A., 1998,  ``FUNWAVE 1.0, Fully nonlinear Boussinesq wave model. Documentation and user�s manual". Report CACR-98-06, Center for Applied Coastal Research, Department of Civil and Environmental Engineering, University of Delaware.
 
 \item Kirby, J.T., Shi, F., Watts, P., Grilli, S.T., 2004,  ``Propagation of short, dispersive tsunami waves in ocean basins". EOS Transactions of the AGU 85 (47) Abstract OS21E-02.
 
@@ -2449,7 +2451,7 @@ \section{References}
 \item Lynett, P. J., Wu, T.-R. and Liu, P. L.-F., 2002,  ``Modeling wave runup with depth-integrated equations",  {\em Coastal Engineering},  
 {\bf 46}, 89-107.
 
-\item Madsen, P.A., S�rensen, O.R., 1992,  ``A new form of the Boussinesq equations with improved linear dispersion characteristics. Part 2. A slowly-varying bathymetry",  {\em Coastal Engineering}  {\bf 18} (3-4), 183-204.
+\item Madsen, P.A., S�rensen, O.R., 1992,  ``A new form of the Boussinesq equations with improved linear dispersion characteristics. Part 2. A slowly-varying bathymetry",  {\em Coastal Engineering}  {\bf 18} (3-4), 183-204.
 
 
 \item Mase, H., and Kirby, J. T., 1992,   ``Hybrid frequency-domain KdV equation for random wave transformation", {\em Proc., 23rd Int. Conf. Coast. Eng.}, ASCE, New York, 474-487.
@@ -2497,7 +2499,7 @@ \section{References}
 \item Tehranirad, B., Shi, F., Kirby, J. T., Harris, J. C. and Grilli, S., 2011, ``Tsunami benchmark results for fully nonlinear Boussinesq wave model FUNWAVE-TVD, Version 1.0'', Research Report No. CACR-11-02, Center for Applied Coastal Research, University of Delaware.  
 
 \item Ting, F.C.K., Kirby, J.T., 1994, ``Observation of undertow and turbulence in a laboratory surf
-zone". {\em Coast. Eng.}  {\bf 24}, 51�80.
+zone". {\em Coast. Eng.}  {\bf 24}, 51�80.
 
 
 \item Tonelli, M. and Petti, M., 2009, ``Hybrid finite volume - finite difference scheme for 2DH improved Boussinesq equations'', {\em Coast. Engrng.}, {\bf 56}, 609-620.
@@ -2507,17 +2509,17 @@ \section{References}
 \item Toro, E. F., 2009, {\em Riemann solvers and numerical methods for fluid dynamics: a practical introduction}, Third edition, Springer, New York. 
 
 \item Wei, G., Kirby, J.T., Grilli, S.T., Subramanya, R., 1995,  ``A fully nonlinear Boussinesq model for surface waves: Part I. Highly nonlinear unsteady waves", {\em  Journal of Fluid
-Mechanics}  {\bf 294}, 71�92.
+Mechanics}  {\bf 294}, 71�92.
 
 \item Wei, G. and Kirby, J. T., 1995, ``A time-dependent numerical code for extended Boussinesq equations",  {\em Journal of Waterway, Port, Coastal and Ocean Engineering},  {\bf 120}, pp. 251-261.
 
 \item
 Yamamoto, S., Daiguji, H., 1993, ``Higher-order-accurate upwind schemes for solving 
-the compressible Euler and Navier�Stokes equations", {\em Computers and Fluids}, {\bf  22} 
-(2/3), 259�270. 
+the compressible Euler and Navier�Stokes equations", {\em Computers and Fluids}, {\bf  22} 
+(2/3), 259�270. 
 
 
-\item Yamamoto, S., Kano, S. and Daiguji, H, 1998, ``An efficient CFD approach for simulating unsteady hypersonic shock�shock interference flows", {\em Computers and Fluids},  {\bf 27} (5�6), pp. 571-580. 
+\item Yamamoto, S., Kano, S. and Daiguji, H, 1998, ``An efficient CFD approach for simulating unsteady hypersonic shock�shock interference flows", {\em Computers and Fluids},  {\bf 27} (5�6), pp. 571-580. 
 
 \item Zelt, J. A., 1991, ``The runup of nonbreaking and breaking solitary waves",  {\em Coastal Engineering},  {\bf 15}, pp. 205-246.
 
@@ -2827,4 +2829,4 @@ \section{Appendix A. Expansions of $(U_1^{'},V_1^{'})$, $(U_1^{''},V_1^{''})$, $
 
 
 
-\end{document}  
+\end{document}