-
Notifications
You must be signed in to change notification settings - Fork 1
/
Copy pathFunction_GetNewElevation.m
153 lines (126 loc) · 6.99 KB
/
Function_GetNewElevation.m
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
function [NodeGeom, NodeSedTrans] = Function_GetNewElevation( ...
NodeGeom, NodeSedTrans, nodes_N, RunParam, timeOutput)
% Calculating new eta bed elevation, in m, function of the sediment
% Only add the feed of the first node into the upwind scheme. The rest of
% the feed should be added to the elevation directly.
% Reset arrays
sedTrans_array_dqbx = zeros(nodes_N,1); %new Transport rate difference:
BedElev_change_Feed = zeros(nodes_N,1);
slope = zeros(nodes_N,1);
slope_old = NodeGeom.Slope;
sedTrans_array_qbx = NodeSedTrans.qb;
feed_array_qin = NodeSedTrans.qb_feed;
BedElev = NodeGeom.Elev;
dx_array = NodeGeom.dx;
param_au_upwind = RunParam.Upwind_au;
param_au_downwind = 1 - param_au_upwind; %(1 - RunParam.Upwind_au);
% sedTrans_array_qbx(end) = 0;
switch RunParam.Upwind_order
case 'first'
%% FIRST ORDER UPWIND SCHEME https://en.wikipedia.org/wiki/Upwind_scheme
debug = false;
if debug
format long g
param_au_upwind = 0.5;
param_au_downwind = (1 - param_au_upwind); %(1 - RunParam.Upwind_au);
sedTrans_array_qbx = [0;0;1;0;0];
nodes_N = length(sedTrans_array_qbx);
sedTrans_array_dqbx = zeros(size(sedTrans_array_qbx));
feed_array_qin = zeros(size(sedTrans_array_qbx));
dx_array = ones(size(sedTrans_array_qbx));
end
% param_au should not affect feed from ghost node!
sedTrans_array_dqbx(1) = ...
((param_au_upwind * sedTrans_array_qbx(1)) - feed_array_qin(1))/dx_array(1)...
+ param_au_downwind * (sedTrans_array_qbx(2) - sedTrans_array_qbx(1))/dx_array(1);
for n=2:nodes_N-1
% upstream and downstream:
U_xminus = param_au_upwind * (sedTrans_array_qbx(n) - sedTrans_array_qbx(n-1))/dx_array(n);
U_xplus = param_au_downwind * (sedTrans_array_qbx(n+1) - sedTrans_array_qbx(n)) /dx_array(n);
sedTrans_array_dqbx(n) = U_xminus + U_xplus;
end
% For this node first order:
%sedTrans_array_dqbx(end - 1) = param_au_upwind * (sedTrans_array_qbx(end - 1) - sedTrans_array_qbx(end - 2))/dx_array(end - 1);
%sedTrans_array_dqbx(end) = param_au_upwind * (sedTrans_array_qbx(end) - sedTrans_array_qbx(end - 1))/dx_array(end);
sedTrans_array_dqbx(end) = (sedTrans_array_qbx(end) - sedTrans_array_qbx(end - 1))/dx_array(end);
%sedTrans_array_dqbx(end) = 0;
case 'second'
% SECOND ORDER UPWIND SCHEME https://en.wikipedia.org/wiki/Upwind_scheme
% first node (use first order, rest second exept last node):
% param_au should not affect feed from ghost node!
sedTrans_array_dqbx(1) = ...
((param_au_upwind * sedTrans_array_qbx(1)) - feed_array_qin(1))/dx_array(1)...
+ param_au_downwind * (sedTrans_array_qbx(2) - sedTrans_array_qbx(1))/dx_array(1);
sedTrans_array_dqbx(2) = ...
param_au_upwind * ( 3 * sedTrans_array_qbx(2) - 4 * sedTrans_array_qbx(1) + 1 * feed_array_qin(1) )/(2 * dx_array(2))...
+ param_au_downwind * (- 3 * sedTrans_array_qbx(2) + 4 * sedTrans_array_qbx(3) - 1 * sedTrans_array_qbx(4))/(2 * dx_array(2));
for n=3:nodes_N-2
% upstream and downstream:
U_xminus = param_au_upwind * ( 3 * sedTrans_array_qbx(n) - 4 * sedTrans_array_qbx(n-1) + 1 * sedTrans_array_qbx(n-2))/(2 * dx_array(n));
U_xplus = param_au_downwind * (- 3 * sedTrans_array_qbx(n) + 4 * sedTrans_array_qbx(n+1) - 1 * sedTrans_array_qbx(n+2))/(2 * dx_array(n));
sedTrans_array_dqbx(n) = U_xminus + U_xplus;
end
% For this node first order:
%if slope_old(end-1) < 0
% sedTrans_array_dqbx(end - 1) = (sedTrans_array_qbx(end - 1) - sedTrans_array_qbx(end - 2))/dx_array(end - 1);
%else
% sedTrans_array_dqbx(end - 1) = ...
% param_au_upwind * (sedTrans_array_qbx(end - 1) - sedTrans_array_qbx(end - 2))/dx_array(end - 1)...
% + param_au_downwind * (sedTrans_array_qbx(end) - sedTrans_array_qbx(end - 1))/dx_array(end - 1);
% %end
% % Fake ghost node: preserve differences for outflow conditions:
% sedTrans_array_dqbx(end) = 0;
otherwise
error('unknown upwinding scheme specified!')
end
% check for mass conservation
%testsum = cumsum(sedTrans_array_dqbx);
%assert(testsum(end) < 1E-6,'assert diffusion working...')
% Elevation change due to Transport:
BedElev_change_Transport = (-sedTrans_array_dqbx./(1 - RunParam.Lambda)).*RunParam.dt_actual*RunParam.freqQ;
% Elevation change due to center feed, first node feed is already included in Transport:
BedElev_change_Feed(2:end) = (feed_array_qin(2:end)./dx_array(2:end)./(1 - RunParam.Lambda)).*RunParam.dt_actual*RunParam.freqQ;
% Calc new BedElev
BedElev_new = BedElev + BedElev_change_Transport + BedElev_change_Feed;
BedElev_new(end) = 0;
%% Calculation of bed slope, in m/m
switch RunParam.slopeOrder
case 1
% order one
slope(1:end-1)= (BedElev_new(1:end-1) - BedElev_new(2:end))./(dx_array(1:end-1));
slope(end) = (BedElev_new(end-2)-BedElev_new(end))./(2 * dx_array(end));
case 2
% order two
slope(1) = (BedElev_new(1) - BedElev_new(2))./(dx_array(1));
slope(2:end-1)= (BedElev_new(1:end-2) -BedElev_new(3:end))./(2*dx_array(2:end-1));
slope(end) = (BedElev_new(end-2)-BedElev_new(end))./(2 * dx_array(end));
otherwise
error('invalid SlopeOrder');
end
%
% assign values to Output Structures:
% for n=1:nodes_N
NodeGeom.dElev_feed = BedElev_change_Feed;
% and find first node impact:
% NodeGeom.dElev_feed(1) = ((feed_array_qin(1)/dx_array(1))./(1 - RunParam.Lambda)).*RunParam.dt_actual*RunParam.freqQ;
NodeGeom.Elev_new = BedElev_new;
NodeGeom.Slope = slope;
NodeSedTrans.dqb = sedTrans_array_dqbx;
NodeSedTrans.dqb_feed = feed_array_qin./dx_array;
% end
%% CHECK MASS CONSERVATION
% feedIn = feed_array_qin./dx_array./(1 - const_lambda).*param_dt_actual.*param_freqQ;
% transportChanges= sum(sedTrans_array_dqbx(1:end-1));
% %transportOut = sedTrans_array_qbx(end)./dx_array(end)./(1 - const_lambda).*param_dt_actual.*param_freqQ;
% MassBefore = sum(BedElev.*dx_array.*ChBankfullWidth_array) + sum(feedIn(2:end).*dx_array(2:end).*ChBankfullWidth_array(2:end)) + transportChanges.*dx_array(end)*ChBankfullWidth_array(end);
% MassAfter = sum(BedElev_new.*dx_array.*ChBankfullWidth_array);
%
% assert(abs(1 - (MassBefore / MassAfter)) < 0.0001,'Mass conservation problem... in Function_GetNewElevationN ');
%% Error if problem
if or(isnan(sum(sedTrans_array_dqbx)),isnan(sum(BedElev_new)))
errorposition = 'Error: t = %i, n = %i \n';
errorcause = 'isnan(sedTrans_array_dqbx) | isnan(BedElev_new)';
%keyboard
error(strcat(errorposition,errorcause), timeOutput,find(isnan(sedTrans_array_dqbx)))
end
end