Download WAVETRAIN User Guide - Mathematical & Computer Sciences

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Wavetrain converts this file into a series of Fortran77 subroutines. Before describing
the various sections of this file, a summary is given of the syntax that is used.
Case sensitivity: Names of variables and parameters are case sensitive.
Derivatives: Derivatives are denoted by . For example, for a partial differential equation
variable u:
if x is the space variable then u x denotes du/dx and u xx denotes d2 u/dx2 ;
if xi is the space variable then u xi denotes du/dxi and u xixi denotes d2 u/dxi2 ;
if xx is the space variable then u xx denotes du/dxx and u xxxx denotes d2 u/dxx2 .
(It would be rather pathological to choose xx as the space variable, but it would
not cause difficulties.)
Spaces and blank lines: Spaces and blank lines are allowed and are ignored, but each of
the required entries must be on a single line: line breaks are not allowed.
Arithmetic:
Powers are denoted by ∧ or ∗∗
Multiplication is denoted by ∗
Division is denoted by /
Addition is denoted by +
Subtraction is denoted by −
Brackets must be rounded, ( and )
Integer division is not allowed. For example (4/3) may be evaluated as 1 (integer
part) or 1.333 depending on the context. Therefore 4.0/3.0 should be
used instead.
Mathematical functions: The following standard mathematical functions are allowed:
abs: absolute value.
acos: inverse cosine; result between 0 and π.
asin: inverse sine; result between −π/2 and π/2.
atan: inverse tangent; result between −π/2 and π/2.
cos: cosine, angle in radians.
cosh: hyperbolic cosine.
exp: exponential function.
log: natural logarithm.
log10: base 10 logarithm.
sin: sine, angle in radians.
sinh: hyperbolic sine.
sqrt: square root.
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