/[MITgcm]/MITgcm/pkg/generic_advdiff/gad_os7mp_adv_r.F
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Revision 1.7 - (hide annotations) (download)
Mon Jun 16 13:40:25 2008 UTC (15 years, 10 months ago) by jmc
Branch: MAIN
CVS Tags: checkpoint64y, checkpoint64x, checkpoint64z, checkpoint64q, checkpoint64p, checkpoint64s, checkpoint64r, checkpoint64u, checkpoint64t, checkpoint64w, checkpoint64v, checkpoint64i, checkpoint64h, checkpoint64k, checkpoint64j, checkpoint64m, checkpoint64l, checkpoint64o, checkpoint64n, checkpoint64a, checkpoint64c, checkpoint64b, checkpoint64e, checkpoint64d, checkpoint64g, checkpoint64f, checkpoint63p, checkpoint63q, checkpoint63r, checkpoint63s, checkpoint63l, checkpoint63m, checkpoint63n, checkpoint63o, checkpoint63h, checkpoint63i, checkpoint63j, checkpoint63k, checkpoint63d, checkpoint63e, checkpoint63f, checkpoint63g, checkpoint63a, checkpoint63b, checkpoint63c, checkpoint64, checkpoint65, checkpoint60, checkpoint61, checkpoint62, checkpoint63, checkpoint66g, checkpoint66f, checkpoint66e, checkpoint66d, checkpoint66c, checkpoint66b, checkpoint66a, checkpoint66o, checkpoint66n, checkpoint66m, checkpoint66l, checkpoint66k, checkpoint66j, checkpoint66i, checkpoint66h, checkpoint65z, checkpoint65x, checkpoint65y, checkpoint65r, checkpoint65s, checkpoint65p, checkpoint65q, checkpoint65v, checkpoint65w, checkpoint65t, checkpoint65u, checkpoint65j, checkpoint65k, checkpoint65h, checkpoint65i, checkpoint65n, checkpoint65o, checkpoint65l, checkpoint65m, checkpoint65b, checkpoint65c, checkpoint65a, checkpoint65f, checkpoint65g, checkpoint65d, checkpoint65e, checkpoint62c, checkpoint62b, checkpoint62a, checkpoint62g, checkpoint62f, checkpoint62e, checkpoint62d, checkpoint62k, checkpoint62j, checkpoint62i, checkpoint62h, checkpoint62o, checkpoint62n, checkpoint62m, checkpoint62l, checkpoint62s, checkpoint62r, checkpoint62q, checkpoint62p, checkpoint62w, checkpoint62v, checkpoint62u, checkpoint62t, checkpoint62z, checkpoint62y, checkpoint62x, checkpoint61f, checkpoint61g, checkpoint61d, checkpoint61e, checkpoint61b, checkpoint61c, checkpoint61a, checkpoint61n, checkpoint61o, checkpoint61l, checkpoint61m, checkpoint61j, checkpoint61k, checkpoint61h, checkpoint61i, checkpoint61v, checkpoint61w, checkpoint61t, checkpoint61u, checkpoint61r, checkpoint61s, checkpoint61p, checkpoint61q, checkpoint61z, checkpoint61x, checkpoint61y, HEAD
Changes since 1.6: +42 -31 lines 
- add "_d 0" for real constant (safer, but has no effect here)
- simplify and avoid division by zero
1 jmc 1.7 C $Header: /u/gcmpack/MITgcm/pkg/generic_advdiff/gad_os7mp_adv_r.F,v 1.6 2007/10/05 10:50:47 mlosch Exp $
2 mlosch 1.2 C $Name: $
3 adcroft 1.1
4     #include "GAD_OPTIONS.h"
5    
6     SUBROUTINE GAD_OS7MP_ADV_R(
7     I bi,bj,k,deltaTloc,
8     I wTrans, wFld,
9     I Q,
10     O wT,
11     I myThid )
12     C /==========================================================\
13     C | SUBROUTINE GAD_OS7MP_ADV_R |
14     C | o Compute Vertical advective Flux of tracer Q using |
15     C | 7th Order DST Sceheme with monotone preserving limiter |
16     C |==========================================================|
17     IMPLICIT NONE
18    
19     C == GLobal variables ==
20     #include "SIZE.h"
21     #include "GRID.h"
22     #include "GAD.h"
23    
24     C == Routine arguments ==
25     INTEGER bi,bj,k
26     _RL deltaTloc
27     _RL wTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
28     _RL wFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
29     _RL Q (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)
30     _RL wT (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
31     INTEGER myThid
32    
33     C == Local variables ==
34     INTEGER i,j,kp3,kp2,kp1,km1,km2,km3,km4
35     _RL cfl,Psi
36 adcroft 1.4 _RL wLoc,Fac,DelIp,DelI,Phi,Eps,rp1h,rp1h_cfl
37 jmc 1.7 _RL recip_DelIp, recip_DelI
38 adcroft 1.1 _RL Qippp,Qipp,Qip,Qi,Qim,Qimm,Qimmm
39     _RL MskIpp,MskIp,MskI,MskIm,MskImm,MskImmm
40     _RL d2,d2p1,d2m1,A,B,C,D
41 jmc 1.7 _RL dp1h,dm1h, PhiMD,PhiLC,PhiMin,PhiMax
42 adcroft 1.4 _RL DelM,DelP,DelMM,DelPP,DelMMM,DelPPP
43     _RL Del2MM,Del2M,Del2,Del2P,Del2PP
44     _RL Del3MM,Del3M,Del3P,Del3PP
45     _RL Del4M,Del4,Del4P
46     _RL Del5M,Del5P
47     _RL Del6
48 adcroft 1.1
49     Eps = 1. _d -20
50    
51     km4=MAX(1,k-4)
52     km3=MAX(1,k-3)
53     km2=MAX(1,k-2)
54     km1=MAX(1,k-1)
55     kp1=MIN(Nr,k+1)
56     kp2=MIN(Nr,k+2)
57     kp3=MIN(Nr,k+3)
58    
59     DO j=1-Oly,sNy+Oly
60     DO i=1-Olx,sNx+Olx
61    
62     wLoc = wFld(i,j)
63     cfl = abs(wLoc*deltaTloc*recip_drC(k))
64    
65 jmc 1.7 IF (wTrans(i,j).LT.0. _d 0) THEN
66 adcroft 1.1 Qippp = Q(i,j,kp2)
67     Qipp = Q(i,j,kp1)
68     Qip = Q(i,j,k)
69     Qi = Q(i,j,km1)
70     Qim = Q(i,j,km2)
71     Qimm = Q(i,j,km3)
72     Qimmm = Q(i,j,km4)
73    
74     MskIpp = maskC(i,j,kp2,bi,bj) * float(kp2-kp1)
75     MskIp = maskC(i,j,kp1,bi,bj) * float(kp1-k)
76     MskI = maskC(i,j,k,bi,bj) * float(k-km1)
77     MskIm = maskC(i,j,km1,bi,bj) * float(km1-km2)
78     MskImm = maskC(i,j,km2,bi,bj) * float(km2-km3)
79     MskImmm = maskC(i,j,km3,bi,bj) * float(km3-km4)
80 jmc 1.7 ELSEIF (wTrans(i,j).GT.0. _d 0) THEN
81 adcroft 1.1 Qippp = Q(i,j,km3)
82     Qipp = Q(i,j,km2)
83     Qip = Q(i,j,km1)
84     Qi = Q(i,j,k)
85     Qim = Q(i,j,kp1)
86     Qimm = Q(i,j,kp2)
87     Qimmm = Q(i,j,kp3)
88    
89     MskIpp = maskC(i,j,km2,bi,bj) * float(km2-km3)
90     MskIp = maskC(i,j,km1,bi,bj) * float(km1-km2)
91     MskI = maskC(i,j,k,bi,bj) * float(k-km1)
92     MskIm = maskC(i,j,kp1,bi,bj) * float(kp1-k)
93     MskImm = maskC(i,j,kp2,bi,bj) * float(kp2-kp1)
94     MskImmm = maskC(i,j,kp3,bi,bj) * float(kp3-kp2)
95 mlosch 1.6 ELSE
96     Qippp = 0. _d 0
97     Qipp = 0. _d 0
98     Qip = 0. _d 0
99     Qi = 0. _d 0
100     Qim = 0. _d 0
101     Qimm = 0. _d 0
102     Qimmm = 0. _d 0
103    
104     MskIpp = 0. _d 0
105     MskIp = 0. _d 0
106     MskI = 0. _d 0
107     MskIm = 0. _d 0
108     MskImm = 0. _d 0
109     MskImmm = 0. _d 0
110 adcroft 1.1 ENDIF
111    
112 jmc 1.7 IF (wTrans(i,j).NE.0. _d 0) THEN
113 adcroft 1.1 C 2nd order correction [i i-1]
114 jmc 1.7 Fac = 1. _d 0
115 adcroft 1.4 DelP = (Qip-Qi)*MskI
116     Phi = Fac * DelP
117 adcroft 1.1 C 3rd order correction [i i-1 i-2]
118 jmc 1.7 Fac = Fac * ( cfl + 1. _d 0 )/3. _d 0
119 adcroft 1.4 DelM = (Qi-Qim)*MskIm
120     Del2 = DelP - DelM
121     Phi = Phi - Fac * Del2
122 adcroft 1.1 C 4th order correction [i+1 i i-1 i-2]
123 jmc 1.7 Fac = Fac * ( cfl - 2. _d 0 )/4. _d 0
124 adcroft 1.4 DelPP = (Qipp-Qip)*MskIp*MskI
125     Del2P = DelPP - DelP
126     Del3P = Del2P - Del2
127     Phi = Phi + Fac * Del3p
128 adcroft 1.1 C 5th order correction [i+1 i i-1 i-2 i-3]
129 jmc 1.7 Fac = Fac * ( cfl - 3. _d 0 )/5. _d 0
130 adcroft 1.4 DelMM = (Qim-Qimm)*MskImm*MskIm
131     Del2M = DelM - DelMM
132     Del3M = Del2 - Del2M
133     Del4 = Del3P - Del3M
134     Phi = Phi + Fac * Del4
135 adcroft 1.1 C 6th order correction [i+2 i+1 i i-1 i-2 i-3]
136 jmc 1.7 Fac = Fac * ( cfl + 2. _d 0 )/6. _d 0
137 adcroft 1.4 DelPPP = (Qippp-Qipp)*MskIpp*MskIp*MskI
138     Del2PP = DelPP - DelP
139     Del3PP = Del2PP - Del2P
140     Del4P = Del3PP - Del3P
141     Del5P = Del4P - Del4
142     Phi = Phi + Fac * Del5P
143 adcroft 1.1 C 7th order correction [i+2 i+1 i i-1 i-2 i-3 i-4]
144 jmc 1.7 Fac = Fac * ( cfl + 2. _d 0 )/7. _d 0
145 adcroft 1.4 DelMMM = (Qimm-Qimmm)*MskImmm*MskImm*MskIm
146     Del2MM = DelMM - DelMMM
147     Del3MM = Del2M - Del2MM
148     Del4M = Del3M - Del3MM
149     Del5M = Del4 - Del4M
150     Del6 = Del5P - Del5M
151     Phi = Phi - Fac * Del6
152 adcroft 1.1
153     DelIp = ( Qip - Qi ) * MskI
154 jmc 1.7 c Phi = sign(1. _d 0,Phi)*sign(1. _d 0,DelIp)
155     c & *abs(Phi+Eps)/abs(DelIp+Eps)
156     C-- simplify and avoid division by zero
157     recip_DelIp = sign(1. _d 0,DelIp)/max(abs(DelIp),Eps)
158     Phi = Phi*recip_DelIp
159 adcroft 1.1
160     DelI = ( Qi - Qim ) * MskIm
161 jmc 1.7 c rp1h =sign(1. _d 0,DelI)*sign(1. _d 0,DelIp)
162     c & *abs(DelI+Eps)/abs(DelIp+Eps)
163     C-- simplify and avoid division by zero
164     recip_DelI = sign(1. _d 0,DelI)/max(abs(DelI),Eps)
165     rp1h = DelI*recip_DelIp
166 adcroft 1.3 rp1h_cfl = rp1h/(cfl+Eps)
167 adcroft 1.1
168     C TVD limiter
169 jmc 1.7 c Phi = max(0. _d 0, min( 2./(1-cfl), Phi, 2.*rp1h_cfl ) )
170 adcroft 1.1
171     C MP limiter
172 adcroft 1.4 d2 = Del2 !( ( Qip + Qim ) - 2.*Qi ) * MskI * MskIm
173     d2p1 = Del2P !( ( Qipp + Qi ) - 2.*Qip ) * MskIp * MskI
174     d2m1 = Del2M !( ( Qi + Qimm ) - 2.*Qim ) * MskIm * MskImm
175 jmc 1.7 A = 4. _d 0*d2 - d2p1
176     B = 4. _d 0*d2p1 - d2
177 adcroft 1.1 C = d2
178 jmc 1.5 D = d2p1
179 mlosch 1.2 dp1h = max(min(A,B,C,D),0. _d 0)+min(max(A,B,C,D),0. _d 0)
180 jmc 1.7 A = 4. _d 0*d2m1 - d2
181     B = 4. _d 0*d2 - d2m1
182 adcroft 1.1 C = d2m1
183 jmc 1.5 D = d2
184 mlosch 1.2 dm1h = max(min(A,B,C,D),0. _d 0)+min(max(A,B,C,D),0. _d 0)
185 jmc 1.7 c qMD = 0.5*( ( Qi + Qip ) - dp1h )
186     c qMD = 0.5 _d 0*( ( 2. _d 0*Qi + DelIp ) - dp1h )
187     c qUL = Qi + (1. _d 0-cfl)/(cfl+Eps)*DelI
188     c qLC = Qi + 0.5 _d 0*( 1. _d 0+dm1h/(DelI+Eps) )*(qUL-Qi)
189     c PhiMD = 2. _d 0/(1. _d 0-cfl)*(qMD-Qi+Eps)/(DelIp+Eps)
190     c PhiLC = 2. _d 0*rp1h_cfl*(qLC-Qi+Eps)/(qUL-Qi+Eps)
191     C-- simplify and avoid division by zero
192     PhiMD = 1. _d 0/(1. _d 0-cfl)*(DelIp-dp1h)*recip_DelIp
193     PhiLC = rp1h_cfl*( 1. _d 0+dm1h*recip_DelI )
194     C--
195 mlosch 1.2 PhiMin = max(min(0. _d 0,PhiMD),
196 jmc 1.7 & min(0. _d 0,2. _d 0*rp1h_cfl,PhiLC))
197     PhiMax = min(max(2. _d 0/(1. _d 0-cfl),PhiMD),
198     & max(0. _d 0,2. _d 0*rp1h_cfl,PhiLC))
199 adcroft 1.1 Phi = max(PhiMin,min(Phi,PhiMax))
200    
201 jmc 1.7 Psi = Phi * 0.5 _d 0 * (1. _d 0 - cfl)
202 adcroft 1.1 wT(i,j) = wTrans(i,j)*( Qi + Psi*DelIp )
203     ELSE
204 jmc 1.7 wT(i,j) = 0. _d 0
205 adcroft 1.1 ENDIF
206    
207     ENDDO
208     ENDDO
209    
210     RETURN
211     END
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