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#' Sound speed estimation
#'
#' This function is used to estimate the sound speed using Coppens equation
#' @note Range of validity: temperature 0 to 35 °C, salinity 0 to 45 parts per thousand, depth 0 to 4000 m
#' @param temperature The temperature in degrees C
#' @param D (optional) The depth in meters (defaults to 1 m)
#' @param S The salinity in part-per-thousand (defaults to 35 ppt)
#' @return The sound speed in m/s
#' @note Source: http://resource.npl.co.uk/acoustics/techguides/soundseawater/content.html#UNESCO
#' @export
#' @examples sound_speed(8, 1000, 34)
sound_speed <- function(temperature, D = NULL, S = NULL) {
if (missing(temperature)) {
stop("input for temperature required")
}
if (is.null(D)) {
D <- 1
}
if (is.null(S)) {
S <- 35
}
# v = 1449.2+4.6*temperature-0.055*temperature.^2+0.00029*temperature.^3+(1.34-0.01*temperature).*(S-35)+0.016*D ;
tempr <- temperature / 10
D <- D / 1000
v0 <- 1449.05 + 45.7 * tempr - 5.21 * tempr^2 + 0.23 * tempr^3 + (1.333 - 0.126 * tempr + 0.009 * tempr^2) * (S - 35)
v <- v0 + (16.23 + 0.253 * tempr) * D + (0.213 - 0.1 * tempr) * D^2 + (0.016 + 0.0002 * (S - 35)) * (S - 35) * tempr * D
return(v)
}
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